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Finding the Fourth Proportional to 12,251.98, 16,917.42 and 8,005.96

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Solution

The fourth proportional to 12,251.98, 16,917.42 and 8,005.96 is: 11,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.98 : 16,917.42 = 8,005.96 : x
  2. Step 2: Convert to fraction form
    12,251.98/16,917.42 = 8,005.96/x
  3. Step 3: Cross multiply
    12,251.98x = 16,917.42 × 8,005.96
  4. Step 4: Simplify right side
    12,251.98x = 135,440,187.82
  5. Step 5: Solve for x
    x = 135,440,187.82/12,251.98
  6. Step 6: Final answer
    x = 11,054.56

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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.