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Finding the Fourth Proportional to 6,640.56, 9,966.99 and 3,355.95

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Solution

The fourth proportional to 6,640.56, 9,966.99 and 3,355.95 is: 5,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.56 : 9,966.99 = 3,355.95 : x
  2. Step 2: Convert to fraction form
    6,640.56/9,966.99 = 3,355.95/x
  3. Step 3: Cross multiply
    6,640.56x = 9,966.99 × 3,355.95
  4. Step 4: Simplify right side
    6,640.56x = 33,448,720.09
  5. Step 5: Solve for x
    x = 33,448,720.09/6,640.56
  6. Step 6: Final answer
    x = 5,037.03

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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.