https://file.aiquickdraw.com/mathbot/file/172683864544577nbk1pu.jpg

The equation presented in the image is:

\[
\frac{6}{18} = \frac{x}{36}
\]

We can solve for the variable \(x\) by using cross-multiplication.

\[
6 \times 36 = 18 \times x
\]

This simplifies to:

\[
216 = 18x
\]

Now, divide both sides by 18 to isolate \(x\):

\[
x = \frac{216}{18} = 12
\]

Thus, the value of \(x\) is 12, so the correct answer is **C) 12**.

Would you like more details or have any questions?

Here are some related questions for further practice:
1. How do you solve proportions with variables in different positions?
2. What is the cross-multiplication method used for?
3. Can you apply the same process to solve \( \frac{4}{7} = \frac{x}{14} \)?
4. How can you verify the solution for a proportion equation?
5. What are some real-world applications of solving proportions?

**Tip:** Cross-multiplication is a quick and effective method to solve proportions when two ratios are equal.

Learn how to solve the proportion 6/18 = x/36 using cross-multiplication. This solution explains key concepts in basic algebra and proportions. Suitable for students in Grades 6-8.

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