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Finding the Fourth Proportional to 6,282.68, 8,670 and 3,450.12

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Solution

The fourth proportional to 6,282.68, 8,670 and 3,450.12 is: 4,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.68 : 8,670 = 3,450.12 : x
  2. Step 2: Convert to fraction form
    6,282.68/8,670 = 3,450.12/x
  3. Step 3: Cross multiply
    6,282.68x = 8,670 × 3,450.12
  4. Step 4: Simplify right side
    6,282.68x = 29,912,540.40
  5. Step 5: Solve for x
    x = 29,912,540.40/6,282.68
  6. Step 6: Final answer
    x = 4,761.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.