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Finding the Fourth Proportional to 27,027.21, 40,542.98 and 9,500.97

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Solution

The fourth proportional to 27,027.21, 40,542.98 and 9,500.97 is: 14,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027.21 : 40,542.98 = 9,500.97 : x
  2. Step 2: Convert to fraction form
    27,027.21/40,542.98 = 9,500.97/x
  3. Step 3: Cross multiply
    27,027.21x = 40,542.98 × 9,500.97
  4. Step 4: Simplify right side
    27,027.21x = 385,197,589.19
  5. Step 5: Solve for x
    x = 385,197,589.19/27,027.21
  6. Step 6: Final answer
    x = 14,252.21

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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.