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Finding the Fourth Proportional to 27,904.62, 41,857.27 and 8,183.58

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Solution

The fourth proportional to 27,904.62, 41,857.27 and 8,183.58 is: 12,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.62 : 41,857.27 = 8,183.58 : x
  2. Step 2: Convert to fraction form
    27,904.62/41,857.27 = 8,183.58/x
  3. Step 3: Cross multiply
    27,904.62x = 41,857.27 × 8,183.58
  4. Step 4: Simplify right side
    27,904.62x = 342,542,140.20
  5. Step 5: Solve for x
    x = 342,542,140.20/27,904.62
  6. Step 6: Final answer
    x = 12,275.46

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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.