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Finding the Fourth Proportional to 20,793.83, 31,190.74 and 6,942.83

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Solution

The fourth proportional to 20,793.83, 31,190.74 and 6,942.83 is: 10,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.83 : 31,190.74 = 6,942.83 : x
  2. Step 2: Convert to fraction form
    20,793.83/31,190.74 = 6,942.83/x
  3. Step 3: Cross multiply
    20,793.83x = 31,190.74 × 6,942.83
  4. Step 4: Simplify right side
    20,793.83x = 216,551,832.08
  5. Step 5: Solve for x
    x = 216,551,832.08/20,793.83
  6. Step 6: Final answer
    x = 10,414.24

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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.