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Finding the Fourth Proportional to 9,168.44, 13,734.16 and 4,231.22

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Solution

The fourth proportional to 9,168.44, 13,734.16 and 4,231.22 is: 6,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.44 : 13,734.16 = 4,231.22 : x
  2. Step 2: Convert to fraction form
    9,168.44/13,734.16 = 4,231.22/x
  3. Step 3: Cross multiply
    9,168.44x = 13,734.16 × 4,231.22
  4. Step 4: Simplify right side
    9,168.44x = 58,112,173.23
  5. Step 5: Solve for x
    x = 58,112,173.23/9,168.44
  6. Step 6: Final answer
    x = 6,338.29

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1.5x scale

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.