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Finding the Fourth Proportional to 10,975, 16,462.50 and 2,767

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Solution

The fourth proportional to 10,975, 16,462.50 and 2,767 is: 4,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975 : 16,462.50 = 2,767 : x
  2. Step 2: Convert to fraction form
    10,975/16,462.50 = 2,767/x
  3. Step 3: Cross multiply
    10,975x = 16,462.50 × 2,767
  4. Step 4: Simplify right side
    10,975x = 45,551,737.50
  5. Step 5: Solve for x
    x = 45,551,737.50/10,975
  6. Step 6: Final answer
    x = 4,150.50

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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.