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Finding the Fourth Proportional to 6,997, 9,655.86 and 3,853.39

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Solution

The fourth proportional to 6,997, 9,655.86 and 3,853.39 is: 5,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997 : 9,655.86 = 3,853.39 : x
  2. Step 2: Convert to fraction form
    6,997/9,655.86 = 3,853.39/x
  3. Step 3: Cross multiply
    6,997x = 9,655.86 × 3,853.39
  4. Step 4: Simplify right side
    6,997x = 37,207,794.37
  5. Step 5: Solve for x
    x = 37,207,794.37/6,997
  6. Step 6: Final answer
    x = 5,317.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.