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Finding the Fourth Proportional to 16,735.20, 23,092 and 9,660.25

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Solution

The fourth proportional to 16,735.20, 23,092 and 9,660.25 is: 13,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.20 : 23,092 = 9,660.25 : x
  2. Step 2: Convert to fraction form
    16,735.20/23,092 = 9,660.25/x
  3. Step 3: Cross multiply
    16,735.20x = 23,092 × 9,660.25
  4. Step 4: Simplify right side
    16,735.20x = 223,074,493
  5. Step 5: Solve for x
    x = 223,074,493/16,735.20
  6. Step 6: Final answer
    x = 13,329.66

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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.