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Finding the Fourth Proportional to 6,558.44, 9,844.13 and 2,863.22

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Solution

The fourth proportional to 6,558.44, 9,844.13 and 2,863.22 is: 4,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.44 : 9,844.13 = 2,863.22 : x
  2. Step 2: Convert to fraction form
    6,558.44/9,844.13 = 2,863.22/x
  3. Step 3: Cross multiply
    6,558.44x = 9,844.13 × 2,863.22
  4. Step 4: Simplify right side
    6,558.44x = 28,185,867.84
  5. Step 5: Solve for x
    x = 28,185,867.84/6,558.44
  6. Step 6: Final answer
    x = 4,297.65

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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.