https://file.aiquickdraw.com/mathbot/file/1726010062220ck7gr70m.jpg

The equation in the image is:

\[
\frac{x}{750} = \frac{7}{50}
\]

To solve for \(x\), we can cross-multiply:

\[
x \cdot 50 = 750 \cdot 7
\]

Simplifying the right-hand side:

\[
x \cdot 50 = 5250
\]

Now, divide both sides by 50:

\[
x = \frac{5250}{50} = 105
\]

Thus, \(x = 105\).

Would you like more details on the steps? Here are 5 related questions to expand on this topic:

1. How can you check the solution to this proportion?
2. What are the steps for solving general proportions like this one?
3. How does cross-multiplication work in solving proportions?
4. Can you solve a similar problem but with different numbers?
5. How can you apply proportions in real-world scenarios?

**Tip:** Always check your final answer by substituting it back into the original equation to verify that both sides are equal!

Learn how to solve the proportion x / 750 = 7 / 50 using cross-multiplication. This example demonstrates the basic algebraic concepts of solving proportions, suitable for students in Grades 6-8.

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