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Finding the Fourth Proportional to 6,706.85, 10,062.09 and 2,324.65

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Solution

The fourth proportional to 6,706.85, 10,062.09 and 2,324.65 is: 3,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.85 : 10,062.09 = 2,324.65 : x
  2. Step 2: Convert to fraction form
    6,706.85/10,062.09 = 2,324.65/x
  3. Step 3: Cross multiply
    6,706.85x = 10,062.09 × 2,324.65
  4. Step 4: Simplify right side
    6,706.85x = 23,390,787.21
  5. Step 5: Solve for x
    x = 23,390,787.21/6,706.85
  6. Step 6: Final answer
    x = 3,487.60

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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.