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Finding the Fourth Proportional to 27,869.47, 41,807.92 and 8,147.74

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Solution

The fourth proportional to 27,869.47, 41,807.92 and 8,147.74 is: 12,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,869.47 : 41,807.92 = 8,147.74 : x
  2. Step 2: Convert to fraction form
    27,869.47/41,807.92 = 8,147.74/x
  3. Step 3: Cross multiply
    27,869.47x = 41,807.92 × 8,147.74
  4. Step 4: Simplify right side
    27,869.47x = 340,640,053.79
  5. Step 5: Solve for x
    x = 340,640,053.79/27,869.47
  6. Step 6: Final answer
    x = 12,222.70

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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.