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Finding the Fourth Proportional to 7,262.70, 10,872.02 and 6,569.66

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Solution

The fourth proportional to 7,262.70, 10,872.02 and 6,569.66 is: 9,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.70 : 10,872.02 = 6,569.66 : x
  2. Step 2: Convert to fraction form
    7,262.70/10,872.02 = 6,569.66/x
  3. Step 3: Cross multiply
    7,262.70x = 10,872.02 × 6,569.66
  4. Step 4: Simplify right side
    7,262.70x = 71,425,474.91
  5. Step 5: Solve for x
    x = 71,425,474.91/7,262.70
  6. Step 6: Final answer
    x = 9,834.56

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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.