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Finding the Fourth Proportional to 27,667.64, 41,500.92 and 7,945.76

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Solution

The fourth proportional to 27,667.64, 41,500.92 and 7,945.76 is: 11,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667.64 : 41,500.92 = 7,945.76 : x
  2. Step 2: Convert to fraction form
    27,667.64/41,500.92 = 7,945.76/x
  3. Step 3: Cross multiply
    27,667.64x = 41,500.92 × 7,945.76
  4. Step 4: Simplify right side
    27,667.64x = 329,756,350.10
  5. Step 5: Solve for x
    x = 329,756,350.10/27,667.64
  6. Step 6: Final answer
    x = 11,918.48

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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.