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Finding the Fourth Proportional to 11,884, 16,404.24 and 8,168.80

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Solution

The fourth proportional to 11,884, 16,404.24 and 8,168.80 is: 11,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884 : 16,404.24 = 8,168.80 : x
  2. Step 2: Convert to fraction form
    11,884/16,404.24 = 8,168.80/x
  3. Step 3: Cross multiply
    11,884x = 16,404.24 × 8,168.80
  4. Step 4: Simplify right side
    11,884x = 134,002,955.71
  5. Step 5: Solve for x
    x = 134,002,955.71/11,884
  6. Step 6: Final answer
    x = 11,275.91

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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.