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Finding the Fourth Proportional to 6,659.94, 9,983.55 and 4,469.31

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Solution

The fourth proportional to 6,659.94, 9,983.55 and 4,469.31 is: 6,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.94 : 9,983.55 = 4,469.31 : x
  2. Step 2: Convert to fraction form
    6,659.94/9,983.55 = 4,469.31/x
  3. Step 3: Cross multiply
    6,659.94x = 9,983.55 × 4,469.31
  4. Step 4: Simplify right side
    6,659.94x = 44,619,579.85
  5. Step 5: Solve for x
    x = 44,619,579.85/6,659.94
  6. Step 6: Final answer
    x = 6,699.70

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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.