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Finding the Fourth Proportional to 11,149.65, 16,706.39 and 5,884.38

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Solution

The fourth proportional to 11,149.65, 16,706.39 and 5,884.38 is: 8,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.65 : 16,706.39 = 5,884.38 : x
  2. Step 2: Convert to fraction form
    11,149.65/16,706.39 = 5,884.38/x
  3. Step 3: Cross multiply
    11,149.65x = 16,706.39 × 5,884.38
  4. Step 4: Simplify right side
    11,149.65x = 98,306,717.77
  5. Step 5: Solve for x
    x = 98,306,717.77/11,149.65
  6. Step 6: Final answer
    x = 8,817.02

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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.