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Finding the Fourth Proportional to 6,121.98, 9,136.70 and 5,531.49

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Solution

The fourth proportional to 6,121.98, 9,136.70 and 5,531.49 is: 8,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.98 : 9,136.70 = 5,531.49 : x
  2. Step 2: Convert to fraction form
    6,121.98/9,136.70 = 5,531.49/x
  3. Step 3: Cross multiply
    6,121.98x = 9,136.70 × 5,531.49
  4. Step 4: Simplify right side
    6,121.98x = 50,539,537.03
  5. Step 5: Solve for x
    x = 50,539,537.03/6,121.98
  6. Step 6: Final answer
    x = 8,255.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.