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Finding the Fourth Proportional to 12,793.24, 17,657.49 and 8,083.90

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Solution

The fourth proportional to 12,793.24, 17,657.49 and 8,083.90 is: 11,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.24 : 17,657.49 = 8,083.90 : x
  2. Step 2: Convert to fraction form
    12,793.24/17,657.49 = 8,083.90/x
  3. Step 3: Cross multiply
    12,793.24x = 17,657.49 × 8,083.90
  4. Step 4: Simplify right side
    12,793.24x = 142,741,383.41
  5. Step 5: Solve for x
    x = 142,741,383.41/12,793.24
  6. Step 6: Final answer
    x = 11,157.56

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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.