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Finding the Fourth Proportional to 6,646.75, 9,976.31 and 3,362.15

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Solution

The fourth proportional to 6,646.75, 9,976.31 and 3,362.15 is: 5,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.75 : 9,976.31 = 3,362.15 : x
  2. Step 2: Convert to fraction form
    6,646.75/9,976.31 = 3,362.15/x
  3. Step 3: Cross multiply
    6,646.75x = 9,976.31 × 3,362.15
  4. Step 4: Simplify right side
    6,646.75x = 33,541,884.01
  5. Step 5: Solve for x
    x = 33,541,884.01/6,646.75
  6. Step 6: Final answer
    x = 5,046.36

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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.