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Finding the Fourth Proportional to 6,296.40, 9,441.90 and 3,175.20

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Solution

The fourth proportional to 6,296.40, 9,441.90 and 3,175.20 is: 4,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.40 : 9,441.90 = 3,175.20 : x
  2. Step 2: Convert to fraction form
    6,296.40/9,441.90 = 3,175.20/x
  3. Step 3: Cross multiply
    6,296.40x = 9,441.90 × 3,175.20
  4. Step 4: Simplify right side
    6,296.40x = 29,979,920.88
  5. Step 5: Solve for x
    x = 29,979,920.88/6,296.40
  6. Step 6: Final answer
    x = 4,761.44

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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.