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Finding the Fourth Proportional to 6,967.50, 10,451.76 and 2,286.30

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Solution

The fourth proportional to 6,967.50, 10,451.76 and 2,286.30 is: 3,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.50 : 10,451.76 = 2,286.30 : x
  2. Step 2: Convert to fraction form
    6,967.50/10,451.76 = 2,286.30/x
  3. Step 3: Cross multiply
    6,967.50x = 10,451.76 × 2,286.30
  4. Step 4: Simplify right side
    6,967.50x = 23,895,858.89
  5. Step 5: Solve for x
    x = 23,895,858.89/6,967.50
  6. Step 6: Final answer
    x = 3,429.62

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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.