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Finding the Fourth Proportional to 6,657.30, 9,976.23 and 3,736.44

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Solution

The fourth proportional to 6,657.30, 9,976.23 and 3,736.44 is: 5,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.30 : 9,976.23 = 3,736.44 : x
  2. Step 2: Convert to fraction form
    6,657.30/9,976.23 = 3,736.44/x
  3. Step 3: Cross multiply
    6,657.30x = 9,976.23 × 3,736.44
  4. Step 4: Simplify right side
    6,657.30x = 37,275,584.82
  5. Step 5: Solve for x
    x = 37,275,584.82/6,657.30
  6. Step 6: Final answer
    x = 5,599.20

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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.