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Finding the Fourth Proportional to 9,255.44, 13,881.72 and 3,098

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Solution

The fourth proportional to 9,255.44, 13,881.72 and 3,098 is: 4,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.44 : 13,881.72 = 3,098 : x
  2. Step 2: Convert to fraction form
    9,255.44/13,881.72 = 3,098/x
  3. Step 3: Cross multiply
    9,255.44x = 13,881.72 × 3,098
  4. Step 4: Simplify right side
    9,255.44x = 43,005,568.56
  5. Step 5: Solve for x
    x = 43,005,568.56/9,255.44
  6. Step 6: Final answer
    x = 4,646.52

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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.