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Finding the Fourth Proportional to 6,706.65, 10,060.10 and 2,324.25

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Solution

The fourth proportional to 6,706.65, 10,060.10 and 2,324.25 is: 3,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.65 : 10,060.10 = 2,324.25 : x
  2. Step 2: Convert to fraction form
    6,706.65/10,060.10 = 2,324.25/x
  3. Step 3: Cross multiply
    6,706.65x = 10,060.10 × 2,324.25
  4. Step 4: Simplify right side
    6,706.65x = 23,382,187.43
  5. Step 5: Solve for x
    x = 23,382,187.43/6,706.65
  6. Step 6: Final answer
    x = 3,486.42

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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.