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Finding the Fourth Proportional to 6,986.82, 10,480.41 and 2,603.41

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Solution

The fourth proportional to 6,986.82, 10,480.41 and 2,603.41 is: 3,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.82 : 10,480.41 = 2,603.41 : x
  2. Step 2: Convert to fraction form
    6,986.82/10,480.41 = 2,603.41/x
  3. Step 3: Cross multiply
    6,986.82x = 10,480.41 × 2,603.41
  4. Step 4: Simplify right side
    6,986.82x = 27,284,778.00
  5. Step 5: Solve for x
    x = 27,284,778.00/6,986.82
  6. Step 6: Final answer
    x = 3,905.18

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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.