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Finding the Fourth Proportional to 6,414.98, 9,623.95 and 2,032.44

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Solution

The fourth proportional to 6,414.98, 9,623.95 and 2,032.44 is: 3,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.98 : 9,623.95 = 2,032.44 : x
  2. Step 2: Convert to fraction form
    6,414.98/9,623.95 = 2,032.44/x
  3. Step 3: Cross multiply
    6,414.98x = 9,623.95 × 2,032.44
  4. Step 4: Simplify right side
    6,414.98x = 19,560,100.94
  5. Step 5: Solve for x
    x = 19,560,100.94/6,414.98
  6. Step 6: Final answer
    x = 3,049.13

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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.