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Finding the Fourth Proportional to 27,702.92, 41,544.66 and 7,976.20

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Solution

The fourth proportional to 27,702.92, 41,544.66 and 7,976.20 is: 11,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.92 : 41,544.66 = 7,976.20 : x
  2. Step 2: Convert to fraction form
    27,702.92/41,544.66 = 7,976.20/x
  3. Step 3: Cross multiply
    27,702.92x = 41,544.66 × 7,976.20
  4. Step 4: Simplify right side
    27,702.92x = 331,368,517.09
  5. Step 5: Solve for x
    x = 331,368,517.09/27,702.92
  6. Step 6: Final answer
    x = 11,961.50

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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.