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Finding the Fourth Proportional to 27,806.76, 41,717.40 and 8,084.88

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Solution

The fourth proportional to 27,806.76, 41,717.40 and 8,084.88 is: 12,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.76 : 41,717.40 = 8,084.88 : x
  2. Step 2: Convert to fraction form
    27,806.76/41,717.40 = 8,084.88/x
  3. Step 3: Cross multiply
    27,806.76x = 41,717.40 × 8,084.88
  4. Step 4: Simplify right side
    27,806.76x = 337,280,172.91
  5. Step 5: Solve for x
    x = 337,280,172.91/27,806.76
  6. Step 6: Final answer
    x = 12,129.43

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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.