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Finding the Fourth Proportional to 6,745.68, 10,111.54 and 2,584.68

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Solution

The fourth proportional to 6,745.68, 10,111.54 and 2,584.68 is: 3,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.68 : 10,111.54 = 2,584.68 : x
  2. Step 2: Convert to fraction form
    6,745.68/10,111.54 = 2,584.68/x
  3. Step 3: Cross multiply
    6,745.68x = 10,111.54 × 2,584.68
  4. Step 4: Simplify right side
    6,745.68x = 26,135,095.21
  5. Step 5: Solve for x
    x = 26,135,095.21/6,745.68
  6. Step 6: Final answer
    x = 3,874.35

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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.