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Finding the Fourth Proportional to 13,757.62, 20,633.70 and 6,734.62

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Solution

The fourth proportional to 13,757.62, 20,633.70 and 6,734.62 is: 10,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.62 : 20,633.70 = 6,734.62 : x
  2. Step 2: Convert to fraction form
    13,757.62/20,633.70 = 6,734.62/x
  3. Step 3: Cross multiply
    13,757.62x = 20,633.70 × 6,734.62
  4. Step 4: Simplify right side
    13,757.62x = 138,960,128.69
  5. Step 5: Solve for x
    x = 138,960,128.69/13,757.62
  6. Step 6: Final answer
    x = 10,100.59

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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.