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Finding the Fourth Proportional to 6,874.75, 10,307.50 and 3,174.94

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Solution

The fourth proportional to 6,874.75, 10,307.50 and 3,174.94 is: 4,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.75 : 10,307.50 = 3,174.94 : x
  2. Step 2: Convert to fraction form
    6,874.75/10,307.50 = 3,174.94/x
  3. Step 3: Cross multiply
    6,874.75x = 10,307.50 × 3,174.94
  4. Step 4: Simplify right side
    6,874.75x = 32,725,694.05
  5. Step 5: Solve for x
    x = 32,725,694.05/6,874.75
  6. Step 6: Final answer
    x = 4,760.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.