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Finding the Fourth Proportional to 6,405.72, 9,607.77 and 1,726.11

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Solution

The fourth proportional to 6,405.72, 9,607.77 and 1,726.11 is: 2,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.72 : 9,607.77 = 1,726.11 : x
  2. Step 2: Convert to fraction form
    6,405.72/9,607.77 = 1,726.11/x
  3. Step 3: Cross multiply
    6,405.72x = 9,607.77 × 1,726.11
  4. Step 4: Simplify right side
    6,405.72x = 16,584,067.87
  5. Step 5: Solve for x
    x = 16,584,067.87/6,405.72
  6. Step 6: Final answer
    x = 2,588.95

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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.