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Finding the Fourth Proportional to 6,310.17, 9,467 and 5,621.60

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Solution

The fourth proportional to 6,310.17, 9,467 and 5,621.60 is: 8,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.17 : 9,467 = 5,621.60 : x
  2. Step 2: Convert to fraction form
    6,310.17/9,467 = 5,621.60/x
  3. Step 3: Cross multiply
    6,310.17x = 9,467 × 5,621.60
  4. Step 4: Simplify right side
    6,310.17x = 53,219,687.20
  5. Step 5: Solve for x
    x = 53,219,687.20/6,310.17
  6. Step 6: Final answer
    x = 8,433.95

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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.