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Finding the Fourth Proportional to 6,487.03, 9,734.24 and 2,538.60

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Solution

The fourth proportional to 6,487.03, 9,734.24 and 2,538.60 is: 3,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.03 : 9,734.24 = 2,538.60 : x
  2. Step 2: Convert to fraction form
    6,487.03/9,734.24 = 2,538.60/x
  3. Step 3: Cross multiply
    6,487.03x = 9,734.24 × 2,538.60
  4. Step 4: Simplify right side
    6,487.03x = 24,711,385.84
  5. Step 5: Solve for x
    x = 24,711,385.84/6,487.03
  6. Step 6: Final answer
    x = 3,809.35

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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.