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Finding the Fourth Proportional to 6,635, 9,952.50 and 2,018

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Solution

The fourth proportional to 6,635, 9,952.50 and 2,018 is: 3,027

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635 : 9,952.50 = 2,018 : x
  2. Step 2: Convert to fraction form
    6,635/9,952.50 = 2,018/x
  3. Step 3: Cross multiply
    6,635x = 9,952.50 × 2,018
  4. Step 4: Simplify right side
    6,635x = 20,084,145
  5. Step 5: Solve for x
    x = 20,084,145/6,635
  6. Step 6: Final answer
    x = 3,027

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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.