https://file.aiquickdraw.com/mathbot/file/1726346625945yxeqnbsr.jpg

The equation in the image is:

\[
\frac{22}{4} = \frac{32}{x}
\]

### Steps to Solve for \( x \):

1. Simplify the left-hand side:
   \[
   \frac{22}{4} = 5.5
   \]
   So, the equation becomes:
   \[
   5.5 = \frac{32}{x}
   \]

2. To solve for \( x \), multiply both sides by \( x \) to eliminate the denominator on the right:
   \[
   5.5x = 32
   \]

3. Divide both sides by \( 5.5 \):
   \[
   x = \frac{32}{5.5}
   \]

4. Simplify the division:
   \[
   x = \frac{320}{55} \approx 5.818
   \]

### Final Answer:
\[
x \approx 5.818
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you solve proportions in general?
2. How can you check if your solution to a proportion is correct?
3. What happens when both sides of the equation are fractions?
4. What are cross-multiplication and its uses?
5. Can proportions have more than one solution?

**Tip:** Simplifying fractions before solving can make calculations easier.

Learn how to solve the proportion 22/4 = 32/x using cross-multiplication and simple algebraic steps. Follow the detailed breakdown and final answer, suitable for Grades 6-8 students.

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