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Finding the Fourth Proportional to 6,285, 9,414.05 and 3,314.06

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Solution

The fourth proportional to 6,285, 9,414.05 and 3,314.06 is: 4,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285 : 9,414.05 = 3,314.06 : x
  2. Step 2: Convert to fraction form
    6,285/9,414.05 = 3,314.06/x
  3. Step 3: Cross multiply
    6,285x = 9,414.05 × 3,314.06
  4. Step 4: Simplify right side
    6,285x = 31,198,662.90
  5. Step 5: Solve for x
    x = 31,198,662.90/6,285
  6. Step 6: Final answer
    x = 4,963.99

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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.