https://file.aiquickdraw.com/mathbot/file/1726198910022tcf44yok.jpg

The image shows the fraction equation \( \frac{17}{5} = \frac{12}{x} \), where the variable \( x \) is to be found.

### Step-by-step solution:

1. The equation can be solved using cross-multiplication:
   \[
   17 \times x = 12 \times 5
   \]
   This simplifies to:
   \[
   17x = 60
   \]

2. To isolate \( x \), divide both sides by 17:
   \[
   x = \frac{60}{17}
   \]

3. This simplifies to:
   \[
   x \approx 3.53
   \]

So, \( x = \frac{60}{17} \) or approximately \( 3.53 \).

Would you like a deeper explanation on any part, or have further questions?

### Follow-up questions:
1. How do you solve similar problems using cross-multiplication?
2. What are some real-life applications of solving proportion equations?
3. Can you solve this equation using another method, like using decimals instead of fractions?
4. How do you simplify fractions like \( \frac{60}{17} \)?
5. How would you estimate the value of a fraction like \( \frac{60}{17} \) without a calculator?

**Tip:** Cross-multiplication is useful whenever you encounter two fractions set equal to each other.

Learn how to solve the proportion 17/5 = 12/x using cross-multiplication. This example provides a step-by-step guide to finding the value of x. Ideal for students in Grades 6-8.

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