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Finding the Fourth Proportional to 6,646.64, 9,976.13 and 3,362.09

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Solution

The fourth proportional to 6,646.64, 9,976.13 and 3,362.09 is: 5,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.64 : 9,976.13 = 3,362.09 : x
  2. Step 2: Convert to fraction form
    6,646.64/9,976.13 = 3,362.09/x
  3. Step 3: Cross multiply
    6,646.64x = 9,976.13 × 3,362.09
  4. Step 4: Simplify right side
    6,646.64x = 33,540,646.91
  5. Step 5: Solve for x
    x = 33,540,646.91/6,646.64
  6. Step 6: Final answer
    x = 5,046.26

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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.