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Finding the Fourth Proportional to 4,691.87, 7,032.42 and 1,571.15

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Solution

The fourth proportional to 4,691.87, 7,032.42 and 1,571.15 is: 2,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.87 : 7,032.42 = 1,571.15 : x
  2. Step 2: Convert to fraction form
    4,691.87/7,032.42 = 1,571.15/x
  3. Step 3: Cross multiply
    4,691.87x = 7,032.42 × 1,571.15
  4. Step 4: Simplify right side
    4,691.87x = 11,048,951.52
  5. Step 5: Solve for x
    x = 11,048,951.52/4,691.87
  6. Step 6: Final answer
    x = 2,354.91

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1.5x scale

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.