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Finding the Fourth Proportional to 6,405.84, 9,608 and 1,726.26

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Solution

The fourth proportional to 6,405.84, 9,608 and 1,726.26 is: 2,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.84 : 9,608 = 1,726.26 : x
  2. Step 2: Convert to fraction form
    6,405.84/9,608 = 1,726.26/x
  3. Step 3: Cross multiply
    6,405.84x = 9,608 × 1,726.26
  4. Step 4: Simplify right side
    6,405.84x = 16,585,906.08
  5. Step 5: Solve for x
    x = 16,585,906.08/6,405.84
  6. Step 6: Final answer
    x = 2,589.19

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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.