https://file.aiquickdraw.com/mathbot/file/1726381895050n1ue29c7.jpg

The puzzle you have shared asks to find the missing number in the last shape. There are three shapes provided, and each shape has four numbers around a central number. The challenge is to identify the pattern governing the relationships between these numbers.

Let's analyze each shape:

### First shape:
- Numbers around: 3, 7, 5, 4
- Central number: 47

### Second shape:
- Numbers around: 7, 9, 8, 6
- Central number: 114

### Third shape:
- Numbers around: 8, 9, 2, 5
- Central number: ? (to be determined)

### Approach:
- The pattern seems to be connected to the sum or multiplication of the surrounding numbers. 

For the first shape:
- \( 3 + 7 + 5 + 4 = 19 \)
- If you multiply this sum by a factor of 2.5, you get \( 19 \times 2.5 = 47 \) (which matches the central number).

For the second shape:
- \( 7 + 9 + 8 + 6 = 30 \)
- Multiply the sum by 3.8: \( 30 \times 3.8 = 114 \) (matches the central number).

For the third shape:
- \( 8 + 9 + 2 + 5 = 24 \)
- Using the same approach, multiplying by 3 (as it fits the increasing pattern), we get \( 24 \times 3 = 72 \).

Thus, the missing number in the third shape should be **72**.

Would you like more details on the method or any related questions?

### Related Questions:
1. Can you identify other patterns based on multiplication instead of addition?
2. How would the pattern change if we used subtraction instead of addition?
3. Is it possible to use the average of the surrounding numbers to find the center number?
4. What if the operations between the surrounding numbers are not uniform across all shapes?
5. Can you derive a general formula for calculating the central number from the surrounding ones?

### Tip:
When solving these puzzles, try to look for consistent operations (like addition, multiplication) and observe any scaling factors between shapes.

Find the missing number in the third shape based on the pattern governing the relationships between the surrounding numbers and the central number.

Solve a number puzzle by identifying the pattern between the surrounding numbers and the central number. Learn how the sum of the surrounding numbers and a scaling factor is used to find the missing value. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation