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Finding the Fourth Proportional to 6,535.17, 9,789.50 and 5,221.15

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Solution

The fourth proportional to 6,535.17, 9,789.50 and 5,221.15 is: 7,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.17 : 9,789.50 = 5,221.15 : x
  2. Step 2: Convert to fraction form
    6,535.17/9,789.50 = 5,221.15/x
  3. Step 3: Cross multiply
    6,535.17x = 9,789.50 × 5,221.15
  4. Step 4: Simplify right side
    6,535.17x = 51,112,447.93
  5. Step 5: Solve for x
    x = 51,112,447.93/6,535.17
  6. Step 6: Final answer
    x = 7,821.14

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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.