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Finding the Fourth Proportional to 6,396.52, 9,591 and 2,496.38

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Solution

The fourth proportional to 6,396.52, 9,591 and 2,496.38 is: 3,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.52 : 9,591 = 2,496.38 : x
  2. Step 2: Convert to fraction form
    6,396.52/9,591 = 2,496.38/x
  3. Step 3: Cross multiply
    6,396.52x = 9,591 × 2,496.38
  4. Step 4: Simplify right side
    6,396.52x = 23,942,780.58
  5. Step 5: Solve for x
    x = 23,942,780.58/6,396.52
  6. Step 6: Final answer
    x = 3,743.09

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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.