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Finding the Fourth Proportional to 17,017, 25,529.82 and 6,491.32

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Solution

The fourth proportional to 17,017, 25,529.82 and 6,491.32 is: 9,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,017 : 25,529.82 = 6,491.32 : x
  2. Step 2: Convert to fraction form
    17,017/25,529.82 = 6,491.32/x
  3. Step 3: Cross multiply
    17,017x = 25,529.82 × 6,491.32
  4. Step 4: Simplify right side
    17,017x = 165,722,231.16
  5. Step 5: Solve for x
    x = 165,722,231.16/17,017
  6. Step 6: Final answer
    x = 9,738.63

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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.