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Finding the Fourth Proportional to 6,638.12, 9,958.62 and 2,021

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Solution

The fourth proportional to 6,638.12, 9,958.62 and 2,021 is: 3,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.12 : 9,958.62 = 2,021 : x
  2. Step 2: Convert to fraction form
    6,638.12/9,958.62 = 2,021/x
  3. Step 3: Cross multiply
    6,638.12x = 9,958.62 × 2,021
  4. Step 4: Simplify right side
    6,638.12x = 20,126,371.02
  5. Step 5: Solve for x
    x = 20,126,371.02/6,638.12
  6. Step 6: Final answer
    x = 3,031.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.