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Finding the Fourth Proportional to 8,576, 12,839.04 and 6,103.04

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Solution

The fourth proportional to 8,576, 12,839.04 and 6,103.04 is: 9,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 12,839.04 = 6,103.04 : x
  2. Step 2: Convert to fraction form
    8,576/12,839.04 = 6,103.04/x
  3. Step 3: Cross multiply
    8,576x = 12,839.04 × 6,103.04
  4. Step 4: Simplify right side
    8,576x = 78,357,174.68
  5. Step 5: Solve for x
    x = 78,357,174.68/8,576
  6. Step 6: Final answer
    x = 9,136.80

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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.