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Finding the Fourth Proportional to 6,653.88, 9,982.26 and 3,323.94

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Solution

The fourth proportional to 6,653.88, 9,982.26 and 3,323.94 is: 4,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.88 : 9,982.26 = 3,323.94 : x
  2. Step 2: Convert to fraction form
    6,653.88/9,982.26 = 3,323.94/x
  3. Step 3: Cross multiply
    6,653.88x = 9,982.26 × 3,323.94
  4. Step 4: Simplify right side
    6,653.88x = 33,180,433.30
  5. Step 5: Solve for x
    x = 33,180,433.30/6,653.88
  6. Step 6: Final answer
    x = 4,986.63

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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.