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Finding the Fourth Proportional to 6,200.25, 9,301.73 and 2,737.50

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Solution

The fourth proportional to 6,200.25, 9,301.73 and 2,737.50 is: 4,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.25 : 9,301.73 = 2,737.50 : x
  2. Step 2: Convert to fraction form
    6,200.25/9,301.73 = 2,737.50/x
  3. Step 3: Cross multiply
    6,200.25x = 9,301.73 × 2,737.50
  4. Step 4: Simplify right side
    6,200.25x = 25,463,472.19
  5. Step 5: Solve for x
    x = 25,463,472.19/6,200.25
  6. Step 6: Final answer
    x = 4,106.85

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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.