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Finding the Fourth Proportional to 12,101.64, 18,149.22 and 3,334.48

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Solution

The fourth proportional to 12,101.64, 18,149.22 and 3,334.48 is: 5,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.64 : 18,149.22 = 3,334.48 : x
  2. Step 2: Convert to fraction form
    12,101.64/18,149.22 = 3,334.48/x
  3. Step 3: Cross multiply
    12,101.64x = 18,149.22 × 3,334.48
  4. Step 4: Simplify right side
    12,101.64x = 60,518,211.11
  5. Step 5: Solve for x
    x = 60,518,211.11/12,101.64
  6. Step 6: Final answer
    x = 5,000.83

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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.