Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 6,\!447 \)
Solution
To solve for \( x \) in the ratio equation:
\[
921 = x : 7
\]
**Understanding the Ratio Notation:**
The notation \( x : 7 \) represents a ratio, which can be interpreted as:
\[
\frac{x}{7}
\]
Given the equation:
\[
921 = \frac{x}{7}
\]
**Solving for \( x \):**
1. **Multiply both sides by 7** to isolate \( x \):
\[
921 \times 7 = x
\]
2. **Calculate the multiplication:**
\[
921 \times 7 = 6447
\]
**Result:**
\[
x = 6447
\]
**Verification:**
To ensure the solution is correct, substitute \( x = 6447 \) back into the original ratio:
\[
\frac{6447}{7} = 921
\]
\[
921 = 921
\]
The equation holds true, confirming that \( x = 6447 \) is the correct solution.
**Final Answer:**
\( x = 6,\!447 \)
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Extra Insights
To solve for \( x \) in the ratio \( 921 = x : 7 \), you can set up a proportion. This can be expressed as: \[ \frac{x}{7} = 921 \implies x = 921 \times 7 \] Now, calculating that gives \[ x = 921 \times 7 = 6447 \] So, \( x = 6447 \). Let's recap: whenever you need to solve for a variable in a ratio, simply cross-multiply if you set up a proportion. It's a speedy way to find your answer!
