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Finding the Fourth Proportional to 27,745.87, 41,614.24 and 11,946.64

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Solution

The fourth proportional to 27,745.87, 41,614.24 and 11,946.64 is: 17,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.87 : 41,614.24 = 11,946.64 : x
  2. Step 2: Convert to fraction form
    27,745.87/41,614.24 = 11,946.64/x
  3. Step 3: Cross multiply
    27,745.87x = 41,614.24 × 11,946.64
  4. Step 4: Simplify right side
    27,745.87x = 497,150,344.15
  5. Step 5: Solve for x
    x = 497,150,344.15/27,745.87
  6. Step 6: Final answer
    x = 17,917.99

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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.