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Finding the Fourth Proportional to 11,099.80, 16,609.20 and 8,183.80

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Solution

The fourth proportional to 11,099.80, 16,609.20 and 8,183.80 is: 12,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099.80 : 16,609.20 = 8,183.80 : x
  2. Step 2: Convert to fraction form
    11,099.80/16,609.20 = 8,183.80/x
  3. Step 3: Cross multiply
    11,099.80x = 16,609.20 × 8,183.80
  4. Step 4: Simplify right side
    11,099.80x = 135,926,370.96
  5. Step 5: Solve for x
    x = 135,926,370.96/11,099.80
  6. Step 6: Final answer
    x = 12,245.84

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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.