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Finding the Fourth Proportional to 6,658.56, 9,982.01 and 2,497.43

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Solution

The fourth proportional to 6,658.56, 9,982.01 and 2,497.43 is: 3,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.56 : 9,982.01 = 2,497.43 : x
  2. Step 2: Convert to fraction form
    6,658.56/9,982.01 = 2,497.43/x
  3. Step 3: Cross multiply
    6,658.56x = 9,982.01 × 2,497.43
  4. Step 4: Simplify right side
    6,658.56x = 24,929,402.43
  5. Step 5: Solve for x
    x = 24,929,402.43/6,658.56
  6. Step 6: Final answer
    x = 3,743.96

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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.