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Finding the Fourth Proportional to 6,850.98, 9,451.35 and 4,862.70

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Solution

The fourth proportional to 6,850.98, 9,451.35 and 4,862.70 is: 6,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.98 : 9,451.35 = 4,862.70 : x
  2. Step 2: Convert to fraction form
    6,850.98/9,451.35 = 4,862.70/x
  3. Step 3: Cross multiply
    6,850.98x = 9,451.35 × 4,862.70
  4. Step 4: Simplify right side
    6,850.98x = 45,959,079.65
  5. Step 5: Solve for x
    x = 45,959,079.65/6,850.98
  6. Step 6: Final answer
    x = 6,708.39

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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.