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Finding the Fourth Proportional to 6,661, 9,991.77 and 2,044

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Solution

The fourth proportional to 6,661, 9,991.77 and 2,044 is: 3,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661 : 9,991.77 = 2,044 : x
  2. Step 2: Convert to fraction form
    6,661/9,991.77 = 2,044/x
  3. Step 3: Cross multiply
    6,661x = 9,991.77 × 2,044
  4. Step 4: Simplify right side
    6,661x = 20,423,177.88
  5. Step 5: Solve for x
    x = 20,423,177.88/6,661
  6. Step 6: Final answer
    x = 3,066.08

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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.