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Finding the Fourth Proportional to 8,740.92, 13,177.27 and 8,177.16

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Solution

The fourth proportional to 8,740.92, 13,177.27 and 8,177.16 is: 12,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.92 : 13,177.27 = 8,177.16 : x
  2. Step 2: Convert to fraction form
    8,740.92/13,177.27 = 8,177.16/x
  3. Step 3: Cross multiply
    8,740.92x = 13,177.27 × 8,177.16
  4. Step 4: Simplify right side
    8,740.92x = 107,752,645.15
  5. Step 5: Solve for x
    x = 107,752,645.15/8,740.92
  6. Step 6: Final answer
    x = 12,327.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.