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Finding the Fourth Proportional to 27,465.53, 41,198.22 and 7,744.56

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Solution

The fourth proportional to 27,465.53, 41,198.22 and 7,744.56 is: 11,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465.53 : 41,198.22 = 7,744.56 : x
  2. Step 2: Convert to fraction form
    27,465.53/41,198.22 = 7,744.56/x
  3. Step 3: Cross multiply
    27,465.53x = 41,198.22 × 7,744.56
  4. Step 4: Simplify right side
    27,465.53x = 319,062,163.93
  5. Step 5: Solve for x
    x = 319,062,163.93/27,465.53
  6. Step 6: Final answer
    x = 11,616.82

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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.