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Finding the Fourth Proportional to 6,253.52, 9,375.62 and 3,787.74

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Solution

The fourth proportional to 6,253.52, 9,375.62 and 3,787.74 is: 5,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.52 : 9,375.62 = 3,787.74 : x
  2. Step 2: Convert to fraction form
    6,253.52/9,375.62 = 3,787.74/x
  3. Step 3: Cross multiply
    6,253.52x = 9,375.62 × 3,787.74
  4. Step 4: Simplify right side
    6,253.52x = 35,512,391.96
  5. Step 5: Solve for x
    x = 35,512,391.96/6,253.52
  6. Step 6: Final answer
    x = 5,678.79

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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.