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Finding the Fourth Proportional to 6,850.70, 9,454 and 3,706.89

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Solution

The fourth proportional to 6,850.70, 9,454 and 3,706.89 is: 5,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.70 : 9,454 = 3,706.89 : x
  2. Step 2: Convert to fraction form
    6,850.70/9,454 = 3,706.89/x
  3. Step 3: Cross multiply
    6,850.70x = 9,454 × 3,706.89
  4. Step 4: Simplify right side
    6,850.70x = 35,044,890.79
  5. Step 5: Solve for x
    x = 35,044,890.79/6,850.70
  6. Step 6: Final answer
    x = 5,115.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.