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Finding the Fourth Proportional to 6,200.64, 9,303.96 and 2,737.44

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Solution

The fourth proportional to 6,200.64, 9,303.96 and 2,737.44 is: 4,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.64 : 9,303.96 = 2,737.44 : x
  2. Step 2: Convert to fraction form
    6,200.64/9,303.96 = 2,737.44/x
  3. Step 3: Cross multiply
    6,200.64x = 9,303.96 × 2,737.44
  4. Step 4: Simplify right side
    6,200.64x = 25,469,032.26
  5. Step 5: Solve for x
    x = 25,469,032.26/6,200.64
  6. Step 6: Final answer
    x = 4,107.48

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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.