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Finding the Fourth Proportional to 16,290.25, 24,397.09 and 7,944.12

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Solution

The fourth proportional to 16,290.25, 24,397.09 and 7,944.12 is: 11,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.25 : 24,397.09 = 7,944.12 : x
  2. Step 2: Convert to fraction form
    16,290.25/24,397.09 = 7,944.12/x
  3. Step 3: Cross multiply
    16,290.25x = 24,397.09 × 7,944.12
  4. Step 4: Simplify right side
    16,290.25x = 193,813,410.61
  5. Step 5: Solve for x
    x = 193,813,410.61/16,290.25
  6. Step 6: Final answer
    x = 11,897.51

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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.