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Finding the Fourth Proportional to 6,472.17, 9,709.20 and 2,522.70

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Solution

The fourth proportional to 6,472.17, 9,709.20 and 2,522.70 is: 3,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.17 : 9,709.20 = 2,522.70 : x
  2. Step 2: Convert to fraction form
    6,472.17/9,709.20 = 2,522.70/x
  3. Step 3: Cross multiply
    6,472.17x = 9,709.20 × 2,522.70
  4. Step 4: Simplify right side
    6,472.17x = 24,493,398.84
  5. Step 5: Solve for x
    x = 24,493,398.84/6,472.17
  6. Step 6: Final answer
    x = 3,784.42

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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.