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Finding the Fourth Proportional to 6,652.97, 9,982.47 and 2,493.29

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Solution

The fourth proportional to 6,652.97, 9,982.47 and 2,493.29 is: 3,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.97 : 9,982.47 = 2,493.29 : x
  2. Step 2: Convert to fraction form
    6,652.97/9,982.47 = 2,493.29/x
  3. Step 3: Cross multiply
    6,652.97x = 9,982.47 × 2,493.29
  4. Step 4: Simplify right side
    6,652.97x = 24,889,142.71
  5. Step 5: Solve for x
    x = 24,889,142.71/6,652.97
  6. Step 6: Final answer
    x = 3,741.06

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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.