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Finding the Fourth Proportional to 26,563.78, 39,850.92 and 7,844.14

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Solution

The fourth proportional to 26,563.78, 39,850.92 and 7,844.14 is: 11,767.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,563.78 : 39,850.92 = 7,844.14 : x
  2. Step 2: Convert to fraction form
    26,563.78/39,850.92 = 7,844.14/x
  3. Step 3: Cross multiply
    26,563.78x = 39,850.92 × 7,844.14
  4. Step 4: Simplify right side
    26,563.78x = 312,596,195.61
  5. Step 5: Solve for x
    x = 312,596,195.61/26,563.78
  6. Step 6: Final answer
    x = 11,767.76

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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.