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Finding the Fourth Proportional to 6,841.62, 9,441.26 and 3,857.42

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Solution

The fourth proportional to 6,841.62, 9,441.26 and 3,857.42 is: 5,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.62 : 9,441.26 = 3,857.42 : x
  2. Step 2: Convert to fraction form
    6,841.62/9,441.26 = 3,857.42/x
  3. Step 3: Cross multiply
    6,841.62x = 9,441.26 × 3,857.42
  4. Step 4: Simplify right side
    6,841.62x = 36,418,905.15
  5. Step 5: Solve for x
    x = 36,418,905.15/6,841.62
  6. Step 6: Final answer
    x = 5,323.14

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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.