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Finding the Fourth Proportional to 7,549.71, 11,324.83 and 3,170.25

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Solution

The fourth proportional to 7,549.71, 11,324.83 and 3,170.25 is: 4,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.71 : 11,324.83 = 3,170.25 : x
  2. Step 2: Convert to fraction form
    7,549.71/11,324.83 = 3,170.25/x
  3. Step 3: Cross multiply
    7,549.71x = 11,324.83 × 3,170.25
  4. Step 4: Simplify right side
    7,549.71x = 35,902,542.31
  5. Step 5: Solve for x
    x = 35,902,542.31/7,549.71
  6. Step 6: Final answer
    x = 4,755.49

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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.