Math Problem Statement
Solution
To solve the ratio table, we need to determine the relationships between the numbers in the columns and complete any missing values.
Given Table:
1 | ?
2 | 48
3 | ?
4 | 64
6 | 96
The pattern suggests proportional relationships between the rows. The ratio of numbers in one column to another should remain constant. Let’s solve:
-
Find the ratio:
- Look at row 2: . The ratio is .
-
Use this ratio to find the missing values:
- For , multiply by : (value for row 1, column 2).
- For , multiply by : (value for row 3, column 2).
Completed Table:
1 | 24
2 | 48
3 | 72
4 | 64
6 | 96
Would you like a detailed breakdown of the proportional calculations or help with a similar problem?
Here are five follow-up questions to expand your understanding:
- What is the proportional relationship between the first and second columns?
- How can you verify your ratio calculations?
- How would the table change if one of the given values were incorrect?
- Can you create your own ratio table based on a different multiplier?
- What real-world scenarios use proportional relationships like this?
Tip: Always check for a consistent ratio by dividing values from corresponding rows to confirm the proportional relationship.
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Math Problem Analysis
Mathematical Concepts
Ratios
Proportional Relationships
Formulas
Value = Ratio × Multiplier
Theorems
Proportionality Theorem
Suitable Grade Level
Grade 6-7