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Finding the Fourth Proportional to 6,661.31, 9,982.43 and 4,892.43

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Solution

The fourth proportional to 6,661.31, 9,982.43 and 4,892.43 is: 7,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.31 : 9,982.43 = 4,892.43 : x
  2. Step 2: Convert to fraction form
    6,661.31/9,982.43 = 4,892.43/x
  3. Step 3: Cross multiply
    6,661.31x = 9,982.43 × 4,892.43
  4. Step 4: Simplify right side
    6,661.31x = 48,838,315.54
  5. Step 5: Solve for x
    x = 48,838,315.54/6,661.31
  6. Step 6: Final answer
    x = 7,331.64

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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.