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Finding the Fourth Proportional to 12,304.43, 16,974.20 and 8,053.62

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Solution

The fourth proportional to 12,304.43, 16,974.20 and 8,053.62 is: 11,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.43 : 16,974.20 = 8,053.62 : x
  2. Step 2: Convert to fraction form
    12,304.43/16,974.20 = 8,053.62/x
  3. Step 3: Cross multiply
    12,304.43x = 16,974.20 × 8,053.62
  4. Step 4: Simplify right side
    12,304.43x = 136,703,671.73
  5. Step 5: Solve for x
    x = 136,703,671.73/12,304.43
  6. Step 6: Final answer
    x = 11,110.12

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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.