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Finding the Fourth Proportional to 6,136.14, 9,205.64 and 2,674.38

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Solution

The fourth proportional to 6,136.14, 9,205.64 and 2,674.38 is: 4,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.14 : 9,205.64 = 2,674.38 : x
  2. Step 2: Convert to fraction form
    6,136.14/9,205.64 = 2,674.38/x
  3. Step 3: Cross multiply
    6,136.14x = 9,205.64 × 2,674.38
  4. Step 4: Simplify right side
    6,136.14x = 24,619,379.50
  5. Step 5: Solve for x
    x = 24,619,379.50/6,136.14
  6. Step 6: Final answer
    x = 4,012.19

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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.