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You have uploaded an equation: 

\[
\frac{6}{n} = \frac{4}{6}
\]

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

\[
6 \times 6 = 4 \times n
\]

Simplifying:

\[
36 = 4n
\]

Now, divide both sides by 4 to isolate \( n \):

\[
n = \frac{36}{4} = 9
\]

Thus, \( n = 9 \).

Would you like further details or have any other questions?

Here are 5 related questions to expand your understanding:
1. How can you verify the solution to a proportion equation?
2. What happens to the equation if the numerator on both sides is equal?
3. How do cross-multiplication and direct solving methods compare?
4. Can you generalize the method used for solving any proportion?
5. How does the solution change if the denominators of both fractions are the same?

**Tip**: Always double-check your work by substituting your solution back into the original equation to ensure both sides are equal!

Learn how to solve the proportion 6/n = 4/6 using the cross-multiplication method. Follow the step-by-step solution, which simplifies the equation and solves for n. Suitable for students in Grades 6-8, this problem explores basic algebra and proportions.

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