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Finding the Fourth Proportional to 6,761.73, 9,337.12 and 4,248.20

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Solution

The fourth proportional to 6,761.73, 9,337.12 and 4,248.20 is: 5,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.73 : 9,337.12 = 4,248.20 : x
  2. Step 2: Convert to fraction form
    6,761.73/9,337.12 = 4,248.20/x
  3. Step 3: Cross multiply
    6,761.73x = 9,337.12 × 4,248.20
  4. Step 4: Simplify right side
    6,761.73x = 39,665,937.28
  5. Step 5: Solve for x
    x = 39,665,937.28/6,761.73
  6. Step 6: Final answer
    x = 5,866.24

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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.