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Finding the Fourth Proportional to 27,443.56, 41,165.34 and 6,667

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Solution

The fourth proportional to 27,443.56, 41,165.34 and 6,667 is: 10,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,443.56 : 41,165.34 = 6,667 : x
  2. Step 2: Convert to fraction form
    27,443.56/41,165.34 = 6,667/x
  3. Step 3: Cross multiply
    27,443.56x = 41,165.34 × 6,667
  4. Step 4: Simplify right side
    27,443.56x = 274,449,321.78
  5. Step 5: Solve for x
    x = 274,449,321.78/27,443.56
  6. Step 6: Final answer
    x = 10,000.50

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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.