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Finding the Fourth Proportional to 6,397.18, 9,591.81 and 2,497

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Solution

The fourth proportional to 6,397.18, 9,591.81 and 2,497 is: 3,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.18 : 9,591.81 = 2,497 : x
  2. Step 2: Convert to fraction form
    6,397.18/9,591.81 = 2,497/x
  3. Step 3: Cross multiply
    6,397.18x = 9,591.81 × 2,497
  4. Step 4: Simplify right side
    6,397.18x = 23,950,749.57
  5. Step 5: Solve for x
    x = 23,950,749.57/6,397.18
  6. Step 6: Final answer
    x = 3,743.95

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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.