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Finding the Fourth Proportional to 11,081.80, 16,582.20 and 8,165.80

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Solution

The fourth proportional to 11,081.80, 16,582.20 and 8,165.80 is: 12,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,081.80 : 16,582.20 = 8,165.80 : x
  2. Step 2: Convert to fraction form
    11,081.80/16,582.20 = 8,165.80/x
  3. Step 3: Cross multiply
    11,081.80x = 16,582.20 × 8,165.80
  4. Step 4: Simplify right side
    11,081.80x = 135,406,928.76
  5. Step 5: Solve for x
    x = 135,406,928.76/11,081.80
  6. Step 6: Final answer
    x = 12,218.86

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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.