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Finding the Fourth Proportional to 13,169.44, 19,754.14 and 6,589

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Solution

The fourth proportional to 13,169.44, 19,754.14 and 6,589 is: 9,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.44 : 19,754.14 = 6,589 : x
  2. Step 2: Convert to fraction form
    13,169.44/19,754.14 = 6,589/x
  3. Step 3: Cross multiply
    13,169.44x = 19,754.14 × 6,589
  4. Step 4: Simplify right side
    13,169.44x = 130,160,028.46
  5. Step 5: Solve for x
    x = 130,160,028.46/13,169.44
  6. Step 6: Final answer
    x = 9,883.49

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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.