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Finding the Fourth Proportional to 6,850.44, 9,453.62 and 3,825.54

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Solution

The fourth proportional to 6,850.44, 9,453.62 and 3,825.54 is: 5,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.44 : 9,453.62 = 3,825.54 : x
  2. Step 2: Convert to fraction form
    6,850.44/9,453.62 = 3,825.54/x
  3. Step 3: Cross multiply
    6,850.44x = 9,453.62 × 3,825.54
  4. Step 4: Simplify right side
    6,850.44x = 36,165,194.14
  5. Step 5: Solve for x
    x = 36,165,194.14/6,850.44
  6. Step 6: Final answer
    x = 5,279.25

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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.