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Finding the Fourth Proportional to 6,531.14, 9,793.02 and 2,147.42

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Solution

The fourth proportional to 6,531.14, 9,793.02 and 2,147.42 is: 3,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.14 : 9,793.02 = 2,147.42 : x
  2. Step 2: Convert to fraction form
    6,531.14/9,793.02 = 2,147.42/x
  3. Step 3: Cross multiply
    6,531.14x = 9,793.02 × 2,147.42
  4. Step 4: Simplify right side
    6,531.14x = 21,029,727.01
  5. Step 5: Solve for x
    x = 21,029,727.01/6,531.14
  6. Step 6: Final answer
    x = 3,219.92

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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.