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Finding the Fourth Proportional to 5,231.74, 7,850.68 and 1,947.12

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Solution

The fourth proportional to 5,231.74, 7,850.68 and 1,947.12 is: 2,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.74 : 7,850.68 = 1,947.12 : x
  2. Step 2: Convert to fraction form
    5,231.74/7,850.68 = 1,947.12/x
  3. Step 3: Cross multiply
    5,231.74x = 7,850.68 × 1,947.12
  4. Step 4: Simplify right side
    5,231.74x = 15,286,216.04
  5. Step 5: Solve for x
    x = 15,286,216.04/5,231.74
  6. Step 6: Final answer
    x = 2,921.82

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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.