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Finding the Fourth Proportional to 6,601.18, 9,896.33 and 5,365.50

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Solution

The fourth proportional to 6,601.18, 9,896.33 and 5,365.50 is: 8,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.18 : 9,896.33 = 5,365.50 : x
  2. Step 2: Convert to fraction form
    6,601.18/9,896.33 = 5,365.50/x
  3. Step 3: Cross multiply
    6,601.18x = 9,896.33 × 5,365.50
  4. Step 4: Simplify right side
    6,601.18x = 53,098,758.62
  5. Step 5: Solve for x
    x = 53,098,758.62/6,601.18
  6. Step 6: Final answer
    x = 8,043.83

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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.