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Finding the Fourth Proportional to 6,632.26, 9,949.60 and 3,169.50

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Solution

The fourth proportional to 6,632.26, 9,949.60 and 3,169.50 is: 4,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.26 : 9,949.60 = 3,169.50 : x
  2. Step 2: Convert to fraction form
    6,632.26/9,949.60 = 3,169.50/x
  3. Step 3: Cross multiply
    6,632.26x = 9,949.60 × 3,169.50
  4. Step 4: Simplify right side
    6,632.26x = 31,535,257.20
  5. Step 5: Solve for x
    x = 31,535,257.20/6,632.26
  6. Step 6: Final answer
    x = 4,754.83

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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.