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Finding the Fourth Proportional to 16,508.48, 22,781.52 and 9,056.48

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Solution

The fourth proportional to 16,508.48, 22,781.52 and 9,056.48 is: 12,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.48 : 22,781.52 = 9,056.48 : x
  2. Step 2: Convert to fraction form
    16,508.48/22,781.52 = 9,056.48/x
  3. Step 3: Cross multiply
    16,508.48x = 22,781.52 × 9,056.48
  4. Step 4: Simplify right side
    16,508.48x = 206,320,380.25
  5. Step 5: Solve for x
    x = 206,320,380.25/16,508.48
  6. Step 6: Final answer
    x = 12,497.84

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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.