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Finding the Fourth Proportional to 6,472,914.70, 9,711,704.85 and 2,689,113.10

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Solution

The fourth proportional to 6,472,914.70, 9,711,704.85 and 2,689,113.10 is: 4,034,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,914.70 : 9,711,704.85 = 2,689,113.10 : x
  2. Step 2: Convert to fraction form
    6,472,914.70/9,711,704.85 = 2,689,113.10/x
  3. Step 3: Cross multiply
    6,472,914.70x = 9,711,704.85 × 2,689,113.10
  4. Step 4: Simplify right side
    6,472,914.70x = 26,115,872,735,468.54
  5. Step 5: Solve for x
    x = 26,115,872,735,468.54/6,472,914.70
  6. Step 6: Final answer
    x = 4,034,638.79

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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.