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Finding the Fourth Proportional to 6,661.12, 9,991.44 and 2,044

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Solution

The fourth proportional to 6,661.12, 9,991.44 and 2,044 is: 3,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.12 : 9,991.44 = 2,044 : x
  2. Step 2: Convert to fraction form
    6,661.12/9,991.44 = 2,044/x
  3. Step 3: Cross multiply
    6,661.12x = 9,991.44 × 2,044
  4. Step 4: Simplify right side
    6,661.12x = 20,422,503.36
  5. Step 5: Solve for x
    x = 20,422,503.36/6,661.12
  6. Step 6: Final answer
    x = 3,065.93

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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.