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Finding the Fourth Proportional to 6,659.26, 9,979.46 and 3,699.02

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Solution

The fourth proportional to 6,659.26, 9,979.46 and 3,699.02 is: 5,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.26 : 9,979.46 = 3,699.02 : x
  2. Step 2: Convert to fraction form
    6,659.26/9,979.46 = 3,699.02/x
  3. Step 3: Cross multiply
    6,659.26x = 9,979.46 × 3,699.02
  4. Step 4: Simplify right side
    6,659.26x = 36,914,222.13
  5. Step 5: Solve for x
    x = 36,914,222.13/6,659.26
  6. Step 6: Final answer
    x = 5,543.29

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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.