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Finding the Fourth Proportional to 6,136.01, 9,196.82 and 2,625

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Solution

The fourth proportional to 6,136.01, 9,196.82 and 2,625 is: 3,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.01 : 9,196.82 = 2,625 : x
  2. Step 2: Convert to fraction form
    6,136.01/9,196.82 = 2,625/x
  3. Step 3: Cross multiply
    6,136.01x = 9,196.82 × 2,625
  4. Step 4: Simplify right side
    6,136.01x = 24,141,652.50
  5. Step 5: Solve for x
    x = 24,141,652.50/6,136.01
  6. Step 6: Final answer
    x = 3,934.42

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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.