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Finding the Fourth Proportional to 6,622.52, 9,937.94 and 3,847.48

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Solution

The fourth proportional to 6,622.52, 9,937.94 and 3,847.48 is: 5,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.52 : 9,937.94 = 3,847.48 : x
  2. Step 2: Convert to fraction form
    6,622.52/9,937.94 = 3,847.48/x
  3. Step 3: Cross multiply
    6,622.52x = 9,937.94 × 3,847.48
  4. Step 4: Simplify right side
    6,622.52x = 38,236,025.39
  5. Step 5: Solve for x
    x = 38,236,025.39/6,622.52
  6. Step 6: Final answer
    x = 5,773.64

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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.