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Finding the Fourth Proportional to 13,793.46, 20,694.12 and 6,775.50

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Solution

The fourth proportional to 13,793.46, 20,694.12 and 6,775.50 is: 10,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.46 : 20,694.12 = 6,775.50 : x
  2. Step 2: Convert to fraction form
    13,793.46/20,694.12 = 6,775.50/x
  3. Step 3: Cross multiply
    13,793.46x = 20,694.12 × 6,775.50
  4. Step 4: Simplify right side
    13,793.46x = 140,212,945.85
  5. Step 5: Solve for x
    x = 140,212,945.85/13,793.46
  6. Step 6: Final answer
    x = 10,165.18

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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.