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Finding the Fourth Proportional to 6,633.62, 9,951.87 and 2,016.50

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Solution

The fourth proportional to 6,633.62, 9,951.87 and 2,016.50 is: 3,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.62 : 9,951.87 = 2,016.50 : x
  2. Step 2: Convert to fraction form
    6,633.62/9,951.87 = 2,016.50/x
  3. Step 3: Cross multiply
    6,633.62x = 9,951.87 × 2,016.50
  4. Step 4: Simplify right side
    6,633.62x = 20,067,945.86
  5. Step 5: Solve for x
    x = 20,067,945.86/6,633.62
  6. Step 6: Final answer
    x = 3,025.19

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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.