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Finding the Fourth Proportional to 8,190.92, 12,294.59 and 8,110.73

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Solution

The fourth proportional to 8,190.92, 12,294.59 and 8,110.73 is: 12,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.92 : 12,294.59 = 8,110.73 : x
  2. Step 2: Convert to fraction form
    8,190.92/12,294.59 = 8,110.73/x
  3. Step 3: Cross multiply
    8,190.92x = 12,294.59 × 8,110.73
  4. Step 4: Simplify right side
    8,190.92x = 99,718,090.13
  5. Step 5: Solve for x
    x = 99,718,090.13/8,190.92
  6. Step 6: Final answer
    x = 12,174.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.