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Finding the Fourth Proportional to 6,745.68, 10,103.94 and 6,580.44

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Solution

The fourth proportional to 6,745.68, 10,103.94 and 6,580.44 is: 9,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.68 : 10,103.94 = 6,580.44 : x
  2. Step 2: Convert to fraction form
    6,745.68/10,103.94 = 6,580.44/x
  3. Step 3: Cross multiply
    6,745.68x = 10,103.94 × 6,580.44
  4. Step 4: Simplify right side
    6,745.68x = 66,488,370.93
  5. Step 5: Solve for x
    x = 66,488,370.93/6,745.68
  6. Step 6: Final answer
    x = 9,856.44

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1.5x scale

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.