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Finding the Fourth Proportional to 6,843.22, 9,444.49 and 3,859

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Solution

The fourth proportional to 6,843.22, 9,444.49 and 3,859 is: 5,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.22 : 9,444.49 = 3,859 : x
  2. Step 2: Convert to fraction form
    6,843.22/9,444.49 = 3,859/x
  3. Step 3: Cross multiply
    6,843.22x = 9,444.49 × 3,859
  4. Step 4: Simplify right side
    6,843.22x = 36,446,286.91
  5. Step 5: Solve for x
    x = 36,446,286.91/6,843.22
  6. Step 6: Final answer
    x = 5,325.90

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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.