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Finding the Fourth Proportional to 27,444, 41,166 and 6,667.56

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Solution

The fourth proportional to 27,444, 41,166 and 6,667.56 is: 10,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,444 : 41,166 = 6,667.56 : x
  2. Step 2: Convert to fraction form
    27,444/41,166 = 6,667.56/x
  3. Step 3: Cross multiply
    27,444x = 41,166 × 6,667.56
  4. Step 4: Simplify right side
    27,444x = 274,476,774.96
  5. Step 5: Solve for x
    x = 274,476,774.96/27,444
  6. Step 6: Final answer
    x = 10,001.34

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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.