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Finding the Fourth Proportional to 12,073.78, 16,671.45 and 8,098.30

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Solution

The fourth proportional to 12,073.78, 16,671.45 and 8,098.30 is: 11,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.78 : 16,671.45 = 8,098.30 : x
  2. Step 2: Convert to fraction form
    12,073.78/16,671.45 = 8,098.30/x
  3. Step 3: Cross multiply
    12,073.78x = 16,671.45 × 8,098.30
  4. Step 4: Simplify right side
    12,073.78x = 135,010,403.54
  5. Step 5: Solve for x
    x = 135,010,403.54/12,073.78
  6. Step 6: Final answer
    x = 11,182.12

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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.