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Finding the Fourth Proportional to 11,176.80, 16,781.40 and 8,422.80

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Solution

The fourth proportional to 11,176.80, 16,781.40 and 8,422.80 is: 12,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.80 : 16,781.40 = 8,422.80 : x
  2. Step 2: Convert to fraction form
    11,176.80/16,781.40 = 8,422.80/x
  3. Step 3: Cross multiply
    11,176.80x = 16,781.40 × 8,422.80
  4. Step 4: Simplify right side
    11,176.80x = 141,346,375.92
  5. Step 5: Solve for x
    x = 141,346,375.92/11,176.80
  6. Step 6: Final answer
    x = 12,646.41

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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.