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Finding the Fourth Proportional to 6,625.88, 9,942.32 and 2,930.66

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Solution

The fourth proportional to 6,625.88, 9,942.32 and 2,930.66 is: 4,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.88 : 9,942.32 = 2,930.66 : x
  2. Step 2: Convert to fraction form
    6,625.88/9,942.32 = 2,930.66/x
  3. Step 3: Cross multiply
    6,625.88x = 9,942.32 × 2,930.66
  4. Step 4: Simplify right side
    6,625.88x = 29,137,559.53
  5. Step 5: Solve for x
    x = 29,137,559.53/6,625.88
  6. Step 6: Final answer
    x = 4,397.54

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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.