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Finding the Fourth Proportional to 6,745.50, 10,118.25 and 2,128.50

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Solution

The fourth proportional to 6,745.50, 10,118.25 and 2,128.50 is: 3,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.50 : 10,118.25 = 2,128.50 : x
  2. Step 2: Convert to fraction form
    6,745.50/10,118.25 = 2,128.50/x
  3. Step 3: Cross multiply
    6,745.50x = 10,118.25 × 2,128.50
  4. Step 4: Simplify right side
    6,745.50x = 21,536,695.13
  5. Step 5: Solve for x
    x = 21,536,695.13/6,745.50
  6. Step 6: Final answer
    x = 3,192.75

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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.