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Finding the Fourth Proportional to 11,449.44, 17,152.38 and 6,522.48

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Solution

The fourth proportional to 11,449.44, 17,152.38 and 6,522.48 is: 9,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.44 : 17,152.38 = 6,522.48 : x
  2. Step 2: Convert to fraction form
    11,449.44/17,152.38 = 6,522.48/x
  3. Step 3: Cross multiply
    11,449.44x = 17,152.38 × 6,522.48
  4. Step 4: Simplify right side
    11,449.44x = 111,876,055.50
  5. Step 5: Solve for x
    x = 111,876,055.50/11,449.44
  6. Step 6: Final answer
    x = 9,771.31

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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.