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Finding the Fourth Proportional to 6,974.66, 9,625.02 and 3,787.94

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Solution

The fourth proportional to 6,974.66, 9,625.02 and 3,787.94 is: 5,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.66 : 9,625.02 = 3,787.94 : x
  2. Step 2: Convert to fraction form
    6,974.66/9,625.02 = 3,787.94/x
  3. Step 3: Cross multiply
    6,974.66x = 9,625.02 × 3,787.94
  4. Step 4: Simplify right side
    6,974.66x = 36,458,998.26
  5. Step 5: Solve for x
    x = 36,458,998.26/6,974.66
  6. Step 6: Final answer
    x = 5,227.35

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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.