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Finding the Fourth Proportional to 6,494.39, 9,743.84 and 2,052.73

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Solution

The fourth proportional to 6,494.39, 9,743.84 and 2,052.73 is: 3,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.39 : 9,743.84 = 2,052.73 : x
  2. Step 2: Convert to fraction form
    6,494.39/9,743.84 = 2,052.73/x
  3. Step 3: Cross multiply
    6,494.39x = 9,743.84 × 2,052.73
  4. Step 4: Simplify right side
    6,494.39x = 20,001,472.68
  5. Step 5: Solve for x
    x = 20,001,472.68/6,494.39
  6. Step 6: Final answer
    x = 3,079.81

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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.