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Finding the Fourth Proportional to 4,194.70, 6,296.90 and 2,250.70

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Solution

The fourth proportional to 4,194.70, 6,296.90 and 2,250.70 is: 3,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.70 : 6,296.90 = 2,250.70 : x
  2. Step 2: Convert to fraction form
    4,194.70/6,296.90 = 2,250.70/x
  3. Step 3: Cross multiply
    4,194.70x = 6,296.90 × 2,250.70
  4. Step 4: Simplify right side
    4,194.70x = 14,172,432.83
  5. Step 5: Solve for x
    x = 14,172,432.83/4,194.70
  6. Step 6: Final answer
    x = 3,378.65

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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.