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Finding the Fourth Proportional to 20,003.20, 30,006.50 and 5,212.12

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Solution

The fourth proportional to 20,003.20, 30,006.50 and 5,212.12 is: 7,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003.20 : 30,006.50 = 5,212.12 : x
  2. Step 2: Convert to fraction form
    20,003.20/30,006.50 = 5,212.12/x
  3. Step 3: Cross multiply
    20,003.20x = 30,006.50 × 5,212.12
  4. Step 4: Simplify right side
    20,003.20x = 156,397,478.78
  5. Step 5: Solve for x
    x = 156,397,478.78/20,003.20
  6. Step 6: Final answer
    x = 7,818.62

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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.