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Finding the Fourth Proportional to 6,967.50, 10,451.40 and 3,267.69

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Solution

The fourth proportional to 6,967.50, 10,451.40 and 3,267.69 is: 4,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.50 : 10,451.40 = 3,267.69 : x
  2. Step 2: Convert to fraction form
    6,967.50/10,451.40 = 3,267.69/x
  3. Step 3: Cross multiply
    6,967.50x = 10,451.40 × 3,267.69
  4. Step 4: Simplify right side
    6,967.50x = 34,151,935.27
  5. Step 5: Solve for x
    x = 34,151,935.27/6,967.50
  6. Step 6: Final answer
    x = 4,901.61

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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.