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Finding the Fourth Proportional to 6,691.43, 9,233.57 and 3,706.47

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Solution

The fourth proportional to 6,691.43, 9,233.57 and 3,706.47 is: 5,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.43 : 9,233.57 = 3,706.47 : x
  2. Step 2: Convert to fraction form
    6,691.43/9,233.57 = 3,706.47/x
  3. Step 3: Cross multiply
    6,691.43x = 9,233.57 × 3,706.47
  4. Step 4: Simplify right side
    6,691.43x = 34,223,959.46
  5. Step 5: Solve for x
    x = 34,223,959.46/6,691.43
  6. Step 6: Final answer
    x = 5,114.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.