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Finding the Fourth Proportional to 6,348.18, 9,522.27 and 2,883

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Solution

The fourth proportional to 6,348.18, 9,522.27 and 2,883 is: 4,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.18 : 9,522.27 = 2,883 : x
  2. Step 2: Convert to fraction form
    6,348.18/9,522.27 = 2,883/x
  3. Step 3: Cross multiply
    6,348.18x = 9,522.27 × 2,883
  4. Step 4: Simplify right side
    6,348.18x = 27,452,704.41
  5. Step 5: Solve for x
    x = 27,452,704.41/6,348.18
  6. Step 6: Final answer
    x = 4,324.50

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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.