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Finding the Fourth Proportional to 13,997.52, 20,997.09 and 3,609

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Solution

The fourth proportional to 13,997.52, 20,997.09 and 3,609 is: 5,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.52 : 20,997.09 = 3,609 : x
  2. Step 2: Convert to fraction form
    13,997.52/20,997.09 = 3,609/x
  3. Step 3: Cross multiply
    13,997.52x = 20,997.09 × 3,609
  4. Step 4: Simplify right side
    13,997.52x = 75,778,497.81
  5. Step 5: Solve for x
    x = 75,778,497.81/13,997.52
  6. Step 6: Final answer
    x = 5,413.71

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1.5x scale

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.