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Finding the Fourth Proportional to 6,661.85, 9,991.86 and 1,982.58

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Solution

The fourth proportional to 6,661.85, 9,991.86 and 1,982.58 is: 2,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.85 : 9,991.86 = 1,982.58 : x
  2. Step 2: Convert to fraction form
    6,661.85/9,991.86 = 1,982.58/x
  3. Step 3: Cross multiply
    6,661.85x = 9,991.86 × 1,982.58
  4. Step 4: Simplify right side
    6,661.85x = 19,809,616.89
  5. Step 5: Solve for x
    x = 19,809,616.89/6,661.85
  6. Step 6: Final answer
    x = 2,973.59

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Similar ratio
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1.5x scale

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.