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Finding the Fourth Proportional to 7,967, 11,950.50 and 3,350

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Solution

The fourth proportional to 7,967, 11,950.50 and 3,350 is: 5,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967 : 11,950.50 = 3,350 : x
  2. Step 2: Convert to fraction form
    7,967/11,950.50 = 3,350/x
  3. Step 3: Cross multiply
    7,967x = 11,950.50 × 3,350
  4. Step 4: Simplify right side
    7,967x = 40,034,175
  5. Step 5: Solve for x
    x = 40,034,175/7,967
  6. Step 6: Final answer
    x = 5,025

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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.