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Finding the Fourth Proportional to 6,635.12, 9,954.12 and 2,018

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Solution

The fourth proportional to 6,635.12, 9,954.12 and 2,018 is: 3,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.12 : 9,954.12 = 2,018 : x
  2. Step 2: Convert to fraction form
    6,635.12/9,954.12 = 2,018/x
  3. Step 3: Cross multiply
    6,635.12x = 9,954.12 × 2,018
  4. Step 4: Simplify right side
    6,635.12x = 20,087,414.16
  5. Step 5: Solve for x
    x = 20,087,414.16/6,635.12
  6. Step 6: Final answer
    x = 3,027.44

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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.