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Finding the Fourth Proportional to 12,833.66, 17,708.87 and 7,168.73

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Solution

The fourth proportional to 12,833.66, 17,708.87 and 7,168.73 is: 9,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.66 : 17,708.87 = 7,168.73 : x
  2. Step 2: Convert to fraction form
    12,833.66/17,708.87 = 7,168.73/x
  3. Step 3: Cross multiply
    12,833.66x = 17,708.87 × 7,168.73
  4. Step 4: Simplify right side
    12,833.66x = 126,950,037.01
  5. Step 5: Solve for x
    x = 126,950,037.01/12,833.66
  6. Step 6: Final answer
    x = 9,891.96

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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.