Finding the Fourth Proportional to 5,120, 7,680 and 1,472
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Solution
The fourth proportional to 5,120, 7,680 and 1,472 is: 2,208
Step by Step Solution
- Step 1: Write the proportion equation
5,120 : 7,680 = 1,472 : x - Step 2: Convert to fraction form
5,120/7,680 = 1,472/x - Step 3: Cross multiply
5,120x = 7,680 × 1,472 - Step 4: Simplify right side
5,120x = 11,304,960 - Step 5: Solve for x
x = 11,304,960/5,120 - Step 6: Final answer
x = 2,208
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.