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Finding the Fourth Proportional to 27,651.06, 41,476.56 and 6,874.56

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Solution

The fourth proportional to 27,651.06, 41,476.56 and 6,874.56 is: 10,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,651.06 : 41,476.56 = 6,874.56 : x
  2. Step 2: Convert to fraction form
    27,651.06/41,476.56 = 6,874.56/x
  3. Step 3: Cross multiply
    27,651.06x = 41,476.56 × 6,874.56
  4. Step 4: Simplify right side
    27,651.06x = 285,133,100.31
  5. Step 5: Solve for x
    x = 285,133,100.31/27,651.06
  6. Step 6: Final answer
    x = 10,311.83

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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.