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Finding the Fourth Proportional to 6,002, 9,003.04 and 1,898

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Solution

The fourth proportional to 6,002, 9,003.04 and 1,898 is: 2,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002 : 9,003.04 = 1,898 : x
  2. Step 2: Convert to fraction form
    6,002/9,003.04 = 1,898/x
  3. Step 3: Cross multiply
    6,002x = 9,003.04 × 1,898
  4. Step 4: Simplify right side
    6,002x = 17,087,769.92
  5. Step 5: Solve for x
    x = 17,087,769.92/6,002
  6. Step 6: Final answer
    x = 2,847.01

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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.