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Finding the Fourth Proportional to 6,553.92, 9,044.68 and 3,759.96

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Solution

The fourth proportional to 6,553.92, 9,044.68 and 3,759.96 is: 5,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.92 : 9,044.68 = 3,759.96 : x
  2. Step 2: Convert to fraction form
    6,553.92/9,044.68 = 3,759.96/x
  3. Step 3: Cross multiply
    6,553.92x = 9,044.68 × 3,759.96
  4. Step 4: Simplify right side
    6,553.92x = 34,007,635.01
  5. Step 5: Solve for x
    x = 34,007,635.01/6,553.92
  6. Step 6: Final answer
    x = 5,188.90

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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.