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Finding the Fourth Proportional to 8,174.52, 12,316.86 and 6,745.68

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Solution

The fourth proportional to 8,174.52, 12,316.86 and 6,745.68 is: 10,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.52 : 12,316.86 = 6,745.68 : x
  2. Step 2: Convert to fraction form
    8,174.52/12,316.86 = 6,745.68/x
  3. Step 3: Cross multiply
    8,174.52x = 12,316.86 × 6,745.68
  4. Step 4: Simplify right side
    8,174.52x = 83,085,596.16
  5. Step 5: Solve for x
    x = 83,085,596.16/8,174.52
  6. Step 6: Final answer
    x = 10,163.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.