1. **State the problem:** We know that 10 students represent 4% of the seventh grade. We need to find the total number of students in the seventh grade.
2. **Set up the proportion:** Since 4% corresponds to 10 students, 100% corresponds to the total number of students, which we call $x$.
3. **Write the proportion equation:**
$$\frac{4}{100} = \frac{10}{x}$$
4. **Solve for $x$ by cross-multiplying:**
$$4 \times x = 100 \times 10$$
$$4x = 1000$$
5. **Divide both sides by 4 to isolate $x$:**
$$x = \frac{1000}{4}$$
$$x = \cancel{\frac{1000}{4}} = 250$$
6. **Interpretation:** There are 250 students in the seventh grade.
**Final answer:**
$$\boxed{250}$$
Proportional Reasoning C5A662
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.