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Finding the Fourth Proportional to 18,097.64, 27,114.24 and 11,074.22

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Solution

The fourth proportional to 18,097.64, 27,114.24 and 11,074.22 is: 16,591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.64 : 27,114.24 = 11,074.22 : x
  2. Step 2: Convert to fraction form
    18,097.64/27,114.24 = 11,074.22/x
  3. Step 3: Cross multiply
    18,097.64x = 27,114.24 × 11,074.22
  4. Step 4: Simplify right side
    18,097.64x = 300,269,058.89
  5. Step 5: Solve for x
    x = 300,269,058.89/18,097.64
  6. Step 6: Final answer
    x = 16,591.61

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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.