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Finding the Fourth Proportional to 14,791.92, 20,407.62 and 9,489.60

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Solution

The fourth proportional to 14,791.92, 20,407.62 and 9,489.60 is: 13,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.92 : 20,407.62 = 9,489.60 : x
  2. Step 2: Convert to fraction form
    14,791.92/20,407.62 = 9,489.60/x
  3. Step 3: Cross multiply
    14,791.92x = 20,407.62 × 9,489.60
  4. Step 4: Simplify right side
    14,791.92x = 193,660,150.75
  5. Step 5: Solve for x
    x = 193,660,150.75/14,791.92
  6. Step 6: Final answer
    x = 13,092.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.