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Finding the Fourth Proportional to 6,553.62, 9,833.31 and 2,171.70

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Solution

The fourth proportional to 6,553.62, 9,833.31 and 2,171.70 is: 3,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.62 : 9,833.31 = 2,171.70 : x
  2. Step 2: Convert to fraction form
    6,553.62/9,833.31 = 2,171.70/x
  3. Step 3: Cross multiply
    6,553.62x = 9,833.31 × 2,171.70
  4. Step 4: Simplify right side
    6,553.62x = 21,354,999.33
  5. Step 5: Solve for x
    x = 21,354,999.33/6,553.62
  6. Step 6: Final answer
    x = 3,258.50

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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.