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Finding the Fourth Proportional to 4,947.68, 7,414.98 and 2,314.98

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Solution

The fourth proportional to 4,947.68, 7,414.98 and 2,314.98 is: 3,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.68 : 7,414.98 = 2,314.98 : x
  2. Step 2: Convert to fraction form
    4,947.68/7,414.98 = 2,314.98/x
  3. Step 3: Cross multiply
    4,947.68x = 7,414.98 × 2,314.98
  4. Step 4: Simplify right side
    4,947.68x = 17,165,530.40
  5. Step 5: Solve for x
    x = 17,165,530.40/4,947.68
  6. Step 6: Final answer
    x = 3,469.41

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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.