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Finding the Fourth Proportional to 3,431.54, 5,147.31 and 834.46

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Solution

The fourth proportional to 3,431.54, 5,147.31 and 834.46 is: 1,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.54 : 5,147.31 = 834.46 : x
  2. Step 2: Convert to fraction form
    3,431.54/5,147.31 = 834.46/x
  3. Step 3: Cross multiply
    3,431.54x = 5,147.31 × 834.46
  4. Step 4: Simplify right side
    3,431.54x = 4,295,214.56
  5. Step 5: Solve for x
    x = 4,295,214.56/3,431.54
  6. Step 6: Final answer
    x = 1,251.69

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.