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Finding the Fourth Proportional to 27,769.82, 41,659.05 and 9,297.50

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Solution

The fourth proportional to 27,769.82, 41,659.05 and 9,297.50 is: 13,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769.82 : 41,659.05 = 9,297.50 : x
  2. Step 2: Convert to fraction form
    27,769.82/41,659.05 = 9,297.50/x
  3. Step 3: Cross multiply
    27,769.82x = 41,659.05 × 9,297.50
  4. Step 4: Simplify right side
    27,769.82x = 387,325,017.38
  5. Step 5: Solve for x
    x = 387,325,017.38/27,769.82
  6. Step 6: Final answer
    x = 13,947.70

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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.