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Finding the Fourth Proportional to 27,971.39, 41,947.07 and 9,247.97

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Solution

The fourth proportional to 27,971.39, 41,947.07 and 9,247.97 is: 13,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.39 : 41,947.07 = 9,247.97 : x
  2. Step 2: Convert to fraction form
    27,971.39/41,947.07 = 9,247.97/x
  3. Step 3: Cross multiply
    27,971.39x = 41,947.07 × 9,247.97
  4. Step 4: Simplify right side
    27,971.39x = 387,924,988.97
  5. Step 5: Solve for x
    x = 387,924,988.97/27,971.39
  6. Step 6: Final answer
    x = 13,868.64

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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.