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Finding the Fourth Proportional to 6,397.54, 9,593.06 and 2,931.82

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Solution

The fourth proportional to 6,397.54, 9,593.06 and 2,931.82 is: 4,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.54 : 9,593.06 = 2,931.82 : x
  2. Step 2: Convert to fraction form
    6,397.54/9,593.06 = 2,931.82/x
  3. Step 3: Cross multiply
    6,397.54x = 9,593.06 × 2,931.82
  4. Step 4: Simplify right side
    6,397.54x = 28,125,125.17
  5. Step 5: Solve for x
    x = 28,125,125.17/6,397.54
  6. Step 6: Final answer
    x = 4,396.24

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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.