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Finding the Fourth Proportional to 12,221.97, 16,854.72 and 8,197.89

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Solution

The fourth proportional to 12,221.97, 16,854.72 and 8,197.89 is: 11,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.97 : 16,854.72 = 8,197.89 : x
  2. Step 2: Convert to fraction form
    12,221.97/16,854.72 = 8,197.89/x
  3. Step 3: Cross multiply
    12,221.97x = 16,854.72 × 8,197.89
  4. Step 4: Simplify right side
    12,221.97x = 138,173,140.54
  5. Step 5: Solve for x
    x = 138,173,140.54/12,221.97
  6. Step 6: Final answer
    x = 11,305.31

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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.