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Finding the Fourth Proportional to 6,651.09, 9,982.80 and 3,366.54

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Solution

The fourth proportional to 6,651.09, 9,982.80 and 3,366.54 is: 5,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.09 : 9,982.80 = 3,366.54 : x
  2. Step 2: Convert to fraction form
    6,651.09/9,982.80 = 3,366.54/x
  3. Step 3: Cross multiply
    6,651.09x = 9,982.80 × 3,366.54
  4. Step 4: Simplify right side
    6,651.09x = 33,607,495.51
  5. Step 5: Solve for x
    x = 33,607,495.51/6,651.09
  6. Step 6: Final answer
    x = 5,052.93

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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.