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Finding the Fourth Proportional to 6,494.55, 9,737.76 and 2,744.40

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Solution

The fourth proportional to 6,494.55, 9,737.76 and 2,744.40 is: 4,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.55 : 9,737.76 = 2,744.40 : x
  2. Step 2: Convert to fraction form
    6,494.55/9,737.76 = 2,744.40/x
  3. Step 3: Cross multiply
    6,494.55x = 9,737.76 × 2,744.40
  4. Step 4: Simplify right side
    6,494.55x = 26,724,308.54
  5. Step 5: Solve for x
    x = 26,724,308.54/6,494.55
  6. Step 6: Final answer
    x = 4,114.88

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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.