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Finding the Fourth Proportional to 13,493.27, 20,230.70 and 6,093.70

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Solution

The fourth proportional to 13,493.27, 20,230.70 and 6,093.70 is: 9,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.27 : 20,230.70 = 6,093.70 : x
  2. Step 2: Convert to fraction form
    13,493.27/20,230.70 = 6,093.70/x
  3. Step 3: Cross multiply
    13,493.27x = 20,230.70 × 6,093.70
  4. Step 4: Simplify right side
    13,493.27x = 123,279,735.54
  5. Step 5: Solve for x
    x = 123,279,735.54/13,493.27
  6. Step 6: Final answer
    x = 9,136.39

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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.