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Finding the Fourth Proportional to 27,667.80, 41,508.72 and 7,947.72

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Solution

The fourth proportional to 27,667.80, 41,508.72 and 7,947.72 is: 11,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667.80 : 41,508.72 = 7,947.72 : x
  2. Step 2: Convert to fraction form
    27,667.80/41,508.72 = 7,947.72/x
  3. Step 3: Cross multiply
    27,667.80x = 41,508.72 × 7,947.72
  4. Step 4: Simplify right side
    27,667.80x = 329,899,684.12
  5. Step 5: Solve for x
    x = 329,899,684.12/27,667.80
  6. Step 6: Final answer
    x = 11,923.60

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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.