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Finding the Fourth Proportional to 6,843.32, 9,449.13 and 5,355.48

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Solution

The fourth proportional to 6,843.32, 9,449.13 and 5,355.48 is: 7,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.32 : 9,449.13 = 5,355.48 : x
  2. Step 2: Convert to fraction form
    6,843.32/9,449.13 = 5,355.48/x
  3. Step 3: Cross multiply
    6,843.32x = 9,449.13 × 5,355.48
  4. Step 4: Simplify right side
    6,843.32x = 50,604,626.73
  5. Step 5: Solve for x
    x = 50,604,626.73/6,843.32
  6. Step 6: Final answer
    x = 7,394.75

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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.