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Finding the Fourth Proportional to 27,651, 41,476.65 and 6,874.50

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Solution

The fourth proportional to 27,651, 41,476.65 and 6,874.50 is: 10,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,651 : 41,476.65 = 6,874.50 : x
  2. Step 2: Convert to fraction form
    27,651/41,476.65 = 6,874.50/x
  3. Step 3: Cross multiply
    27,651x = 41,476.65 × 6,874.50
  4. Step 4: Simplify right side
    27,651x = 285,131,256.20
  5. Step 5: Solve for x
    x = 285,131,256.20/27,651
  6. Step 6: Final answer
    x = 10,311.79

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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.