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Finding the Fourth Proportional to 6,443.47, 9,664.84 and 1,763.14

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Solution

The fourth proportional to 6,443.47, 9,664.84 and 1,763.14 is: 2,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.47 : 9,664.84 = 1,763.14 : x
  2. Step 2: Convert to fraction form
    6,443.47/9,664.84 = 1,763.14/x
  3. Step 3: Cross multiply
    6,443.47x = 9,664.84 × 1,763.14
  4. Step 4: Simplify right side
    6,443.47x = 17,040,450.84
  5. Step 5: Solve for x
    x = 17,040,450.84/6,443.47
  6. Step 6: Final answer
    x = 2,644.61

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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.