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Finding the Fourth Proportional to 6,664.94, 9,983 and 3,370.22

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Solution

The fourth proportional to 6,664.94, 9,983 and 3,370.22 is: 5,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.94 : 9,983 = 3,370.22 : x
  2. Step 2: Convert to fraction form
    6,664.94/9,983 = 3,370.22/x
  3. Step 3: Cross multiply
    6,664.94x = 9,983 × 3,370.22
  4. Step 4: Simplify right side
    6,664.94x = 33,644,906.26
  5. Step 5: Solve for x
    x = 33,644,906.26/6,664.94
  6. Step 6: Final answer
    x = 5,048.04

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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.