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Finding the Fourth Proportional to 6,951.78, 9,593.10 and 3,807.90

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Solution

The fourth proportional to 6,951.78, 9,593.10 and 3,807.90 is: 5,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.78 : 9,593.10 = 3,807.90 : x
  2. Step 2: Convert to fraction form
    6,951.78/9,593.10 = 3,807.90/x
  3. Step 3: Cross multiply
    6,951.78x = 9,593.10 × 3,807.90
  4. Step 4: Simplify right side
    6,951.78x = 36,529,565.49
  5. Step 5: Solve for x
    x = 36,529,565.49/6,951.78
  6. Step 6: Final answer
    x = 5,254.71

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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.