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Finding the Fourth Proportional to 11,871.92, 17,814.57 and 8,177.11

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Solution

The fourth proportional to 11,871.92, 17,814.57 and 8,177.11 is: 12,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.92 : 17,814.57 = 8,177.11 : x
  2. Step 2: Convert to fraction form
    11,871.92/17,814.57 = 8,177.11/x
  3. Step 3: Cross multiply
    11,871.92x = 17,814.57 × 8,177.11
  4. Step 4: Simplify right side
    11,871.92x = 145,671,698.49
  5. Step 5: Solve for x
    x = 145,671,698.49/11,871.92
  6. Step 6: Final answer
    x = 12,270.27

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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.