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Finding the Fourth Proportional to 27,224.88, 40,839.68 and 7,503.48

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Solution

The fourth proportional to 27,224.88, 40,839.68 and 7,503.48 is: 11,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.88 : 40,839.68 = 7,503.48 : x
  2. Step 2: Convert to fraction form
    27,224.88/40,839.68 = 7,503.48/x
  3. Step 3: Cross multiply
    27,224.88x = 40,839.68 × 7,503.48
  4. Step 4: Simplify right side
    27,224.88x = 306,439,722.09
  5. Step 5: Solve for x
    x = 306,439,722.09/27,224.88
  6. Step 6: Final answer
    x = 11,255.87

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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.