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Finding the Fourth Proportional to 6,085.50, 9,123 and 2,136.24

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Solution

The fourth proportional to 6,085.50, 9,123 and 2,136.24 is: 3,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.50 : 9,123 = 2,136.24 : x
  2. Step 2: Convert to fraction form
    6,085.50/9,123 = 2,136.24/x
  3. Step 3: Cross multiply
    6,085.50x = 9,123 × 2,136.24
  4. Step 4: Simplify right side
    6,085.50x = 19,488,917.52
  5. Step 5: Solve for x
    x = 19,488,917.52/6,085.50
  6. Step 6: Final answer
    x = 3,202.52

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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.