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Finding the Fourth Proportional to 6,626.40, 9,942.30 and 3,340.44

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Solution

The fourth proportional to 6,626.40, 9,942.30 and 3,340.44 is: 5,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.40 : 9,942.30 = 3,340.44 : x
  2. Step 2: Convert to fraction form
    6,626.40/9,942.30 = 3,340.44/x
  3. Step 3: Cross multiply
    6,626.40x = 9,942.30 × 3,340.44
  4. Step 4: Simplify right side
    6,626.40x = 33,211,656.61
  5. Step 5: Solve for x
    x = 33,211,656.61/6,626.40
  6. Step 6: Final answer
    x = 5,012.02

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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.