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Finding the Fourth Proportional to 10,281.56, 15,446.96 and 6,591

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Solution

The fourth proportional to 10,281.56, 15,446.96 and 6,591 is: 9,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.56 : 15,446.96 = 6,591 : x
  2. Step 2: Convert to fraction form
    10,281.56/15,446.96 = 6,591/x
  3. Step 3: Cross multiply
    10,281.56x = 15,446.96 × 6,591
  4. Step 4: Simplify right side
    10,281.56x = 101,810,913.36
  5. Step 5: Solve for x
    x = 101,810,913.36/10,281.56
  6. Step 6: Final answer
    x = 9,902.28

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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.