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Finding the Fourth Proportional to 6,843.80, 9,445.82 and 3,859.70

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Solution

The fourth proportional to 6,843.80, 9,445.82 and 3,859.70 is: 5,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.80 : 9,445.82 = 3,859.70 : x
  2. Step 2: Convert to fraction form
    6,843.80/9,445.82 = 3,859.70/x
  3. Step 3: Cross multiply
    6,843.80x = 9,445.82 × 3,859.70
  4. Step 4: Simplify right side
    6,843.80x = 36,457,964.93
  5. Step 5: Solve for x
    x = 36,457,964.93/6,843.80
  6. Step 6: Final answer
    x = 5,327.15

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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.