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Finding the Fourth Proportional to 27,824.71, 41,737.13 and 8,103.74

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Solution

The fourth proportional to 27,824.71, 41,737.13 and 8,103.74 is: 12,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.71 : 41,737.13 = 8,103.74 : x
  2. Step 2: Convert to fraction form
    27,824.71/41,737.13 = 8,103.74/x
  3. Step 3: Cross multiply
    27,824.71x = 41,737.13 × 8,103.74
  4. Step 4: Simplify right side
    27,824.71x = 338,226,849.87
  5. Step 5: Solve for x
    x = 338,226,849.87/27,824.71
  6. Step 6: Final answer
    x = 12,155.63

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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.