To solve the equation \( \frac{3x}{4} = \frac{6}{7} \), follow these steps:

1. **Cross-multiply** to eliminate the fractions:
   \[
   3x \times 7 = 4 \times 6
   \]
   This gives:
   \[
   21x = 24
   \]

2. **Solve for \( x \)** by dividing both sides by 21:
   \[
   x = \frac{24}{21}
   \]

3. Simplify the fraction:
   \[
   x = \frac{8}{7}
   \]

Thus, the solution is:
\[
x = \frac{8}{7}
\]

Let me know if you'd like further clarification! 

Here are 5 related questions to explore:
1. How would you solve an equation with different coefficients on both sides?
2. What is the process for solving equations with variables in both the numerator and denominator?
3. How can you solve a proportion involving variables and fractions?
4. How do you simplify complex fractions in algebraic equations?
5. Can you solve a system of equations using the cross-multiplication method?

**Tip**: When solving equations with fractions, cross-multiplying can often simplify the problem by removing the denominators.

Learn how to solve the equation 3x/4 = 6/7 using the cross-multiplication method. This step-by-step solution demonstrates how to eliminate fractions and solve for the variable. Suitable for students in Grades 6-8.

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