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Finding the Fourth Proportional to 11,801.50, 17,702.28 and 5,227.74

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Solution

The fourth proportional to 11,801.50, 17,702.28 and 5,227.74 is: 7,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.50 : 17,702.28 = 5,227.74 : x
  2. Step 2: Convert to fraction form
    11,801.50/17,702.28 = 5,227.74/x
  3. Step 3: Cross multiply
    11,801.50x = 17,702.28 × 5,227.74
  4. Step 4: Simplify right side
    11,801.50x = 92,542,917.25
  5. Step 5: Solve for x
    x = 92,542,917.25/11,801.50
  6. Step 6: Final answer
    x = 7,841.62

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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.