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Finding the Fourth Proportional to 6,951.69, 9,593.24 and 3,807.88

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Solution

The fourth proportional to 6,951.69, 9,593.24 and 3,807.88 is: 5,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.69 : 9,593.24 = 3,807.88 : x
  2. Step 2: Convert to fraction form
    6,951.69/9,593.24 = 3,807.88/x
  3. Step 3: Cross multiply
    6,951.69x = 9,593.24 × 3,807.88
  4. Step 4: Simplify right side
    6,951.69x = 36,529,906.73
  5. Step 5: Solve for x
    x = 36,529,906.73/6,951.69
  6. Step 6: Final answer
    x = 5,254.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.