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Finding the Fourth Proportional to 6,214.50, 9,321.84 and 2,318.94

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Solution

The fourth proportional to 6,214.50, 9,321.84 and 2,318.94 is: 3,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.50 : 9,321.84 = 2,318.94 : x
  2. Step 2: Convert to fraction form
    6,214.50/9,321.84 = 2,318.94/x
  3. Step 3: Cross multiply
    6,214.50x = 9,321.84 × 2,318.94
  4. Step 4: Simplify right side
    6,214.50x = 21,616,787.65
  5. Step 5: Solve for x
    x = 21,616,787.65/6,214.50
  6. Step 6: Final answer
    x = 3,478.44

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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.