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Finding the Fourth Proportional to 13,746.66, 20,593.46 and 8,204.44

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Solution

The fourth proportional to 13,746.66, 20,593.46 and 8,204.44 is: 12,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.66 : 20,593.46 = 8,204.44 : x
  2. Step 2: Convert to fraction form
    13,746.66/20,593.46 = 8,204.44/x
  3. Step 3: Cross multiply
    13,746.66x = 20,593.46 × 8,204.44
  4. Step 4: Simplify right side
    13,746.66x = 168,957,806.96
  5. Step 5: Solve for x
    x = 168,957,806.96/13,746.66
  6. Step 6: Final answer
    x = 12,290.83

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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.