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Finding the Fourth Proportional to 12,463.76, 17,193.39 and 7,684.73

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Solution

The fourth proportional to 12,463.76, 17,193.39 and 7,684.73 is: 10,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.76 : 17,193.39 = 7,684.73 : x
  2. Step 2: Convert to fraction form
    12,463.76/17,193.39 = 7,684.73/x
  3. Step 3: Cross multiply
    12,463.76x = 17,193.39 × 7,684.73
  4. Step 4: Simplify right side
    12,463.76x = 132,126,559.93
  5. Step 5: Solve for x
    x = 132,126,559.93/12,463.76
  6. Step 6: Final answer
    x = 10,600.86

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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.