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Finding the Fourth Proportional to 27,224.76, 40,843.08 and 8,506.20

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Solution

The fourth proportional to 27,224.76, 40,843.08 and 8,506.20 is: 12,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.76 : 40,843.08 = 8,506.20 : x
  2. Step 2: Convert to fraction form
    27,224.76/40,843.08 = 8,506.20/x
  3. Step 3: Cross multiply
    27,224.76x = 40,843.08 × 8,506.20
  4. Step 4: Simplify right side
    27,224.76x = 347,419,407.10
  5. Step 5: Solve for x
    x = 347,419,407.10/27,224.76
  6. Step 6: Final answer
    x = 12,761.16

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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.