To solve for \( n \) in the proportion \( \frac{15}{12} = \frac{35}{n} \), follow these steps:

### Step 1: Cross-multiply
Using the property of proportions, you can cross-multiply:
\[
15 \cdot n = 12 \cdot 35
\]

### Step 2: Simplify the multiplication
\[
15n = 420
\]

### Step 3: Solve for \( n \)
To isolate \( n \), divide both sides of the equation by 15:
\[
n = \frac{420}{15}
\]
\[
n = 28
\]

So, \( n = 28 \).

Would you like further details or have any questions?

Here are 5 related questions you might consider:
1. How do you solve proportions using different methods, such as cross-multiplication?
2. What are some real-life applications of proportions?
3. How can you use proportions to solve for unknown quantities in word problems?
4. How do you simplify fractions when working with proportions?
5. How can proportions be used in scaling objects?

**Tip**: When solving proportions, always double-check by plugging the solution back into the original ratio to verify correctness.

Learn how to solve the proportion 15/12 = 35/n by using cross-multiplication. This detailed guide walks through the steps to find the value of n, making it ideal for students in Grades 6-8. Explore key concepts such as ratios, proportions, and algebraic manipulation.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation