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Finding the Fourth Proportional to 13,702.74, 20,554.10 and 3,843.48

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Solution

The fourth proportional to 13,702.74, 20,554.10 and 3,843.48 is: 5,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.74 : 20,554.10 = 3,843.48 : x
  2. Step 2: Convert to fraction form
    13,702.74/20,554.10 = 3,843.48/x
  3. Step 3: Cross multiply
    13,702.74x = 20,554.10 × 3,843.48
  4. Step 4: Simplify right side
    13,702.74x = 78,999,272.27
  5. Step 5: Solve for x
    x = 78,999,272.27/13,702.74
  6. Step 6: Final answer
    x = 5,765.22

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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.