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Finding the Fourth Proportional to 6,100, 9,150 and 1,996

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Solution

The fourth proportional to 6,100, 9,150 and 1,996 is: 2,994

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100 : 9,150 = 1,996 : x
  2. Step 2: Convert to fraction form
    6,100/9,150 = 1,996/x
  3. Step 3: Cross multiply
    6,100x = 9,150 × 1,996
  4. Step 4: Simplify right side
    6,100x = 18,263,400
  5. Step 5: Solve for x
    x = 18,263,400/6,100
  6. Step 6: Final answer
    x = 2,994

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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.