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Finding the Fourth Proportional to 6,657.22, 9,964.77 and 4,183.48

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Solution

The fourth proportional to 6,657.22, 9,964.77 and 4,183.48 is: 6,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.22 : 9,964.77 = 4,183.48 : x
  2. Step 2: Convert to fraction form
    6,657.22/9,964.77 = 4,183.48/x
  3. Step 3: Cross multiply
    6,657.22x = 9,964.77 × 4,183.48
  4. Step 4: Simplify right side
    6,657.22x = 41,687,416.00
  5. Step 5: Solve for x
    x = 41,687,416.00/6,657.22
  6. Step 6: Final answer
    x = 6,261.99

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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.