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Finding the Fourth Proportional to 6,997.44, 9,650.20 and 4,976.88

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Solution

The fourth proportional to 6,997.44, 9,650.20 and 4,976.88 is: 6,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.44 : 9,650.20 = 4,976.88 : x
  2. Step 2: Convert to fraction form
    6,997.44/9,650.20 = 4,976.88/x
  3. Step 3: Cross multiply
    6,997.44x = 9,650.20 × 4,976.88
  4. Step 4: Simplify right side
    6,997.44x = 48,027,887.38
  5. Step 5: Solve for x
    x = 48,027,887.38/6,997.44
  6. Step 6: Final answer
    x = 6,863.64

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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.