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Finding the Fourth Proportional to 6,387.42, 9,575.64 and 3,102.78

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Solution

The fourth proportional to 6,387.42, 9,575.64 and 3,102.78 is: 4,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.42 : 9,575.64 = 3,102.78 : x
  2. Step 2: Convert to fraction form
    6,387.42/9,575.64 = 3,102.78/x
  3. Step 3: Cross multiply
    6,387.42x = 9,575.64 × 3,102.78
  4. Step 4: Simplify right side
    6,387.42x = 29,711,104.28
  5. Step 5: Solve for x
    x = 29,711,104.28/6,387.42
  6. Step 6: Final answer
    x = 4,651.50

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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.