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Finding the Fourth Proportional to 11,843.72, 16,344.18 and 6,538.44

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Solution

The fourth proportional to 11,843.72, 16,344.18 and 6,538.44 is: 9,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.72 : 16,344.18 = 6,538.44 : x
  2. Step 2: Convert to fraction form
    11,843.72/16,344.18 = 6,538.44/x
  3. Step 3: Cross multiply
    11,843.72x = 16,344.18 × 6,538.44
  4. Step 4: Simplify right side
    11,843.72x = 106,865,440.28
  5. Step 5: Solve for x
    x = 106,865,440.28/11,843.72
  6. Step 6: Final answer
    x = 9,022.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.