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Finding the Fourth Proportional to 27,755.76, 41,631.82 and 11,960.16

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Solution

The fourth proportional to 27,755.76, 41,631.82 and 11,960.16 is: 17,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.76 : 41,631.82 = 11,960.16 : x
  2. Step 2: Convert to fraction form
    27,755.76/41,631.82 = 11,960.16/x
  3. Step 3: Cross multiply
    27,755.76x = 41,631.82 × 11,960.16
  4. Step 4: Simplify right side
    27,755.76x = 497,923,228.29
  5. Step 5: Solve for x
    x = 497,923,228.29/27,755.76
  6. Step 6: Final answer
    x = 17,939.46

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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.