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Finding the Fourth Proportional to 8,311.72, 12,465.14 and 6,847.24

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Solution

The fourth proportional to 8,311.72, 12,465.14 and 6,847.24 is: 10,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.72 : 12,465.14 = 6,847.24 : x
  2. Step 2: Convert to fraction form
    8,311.72/12,465.14 = 6,847.24/x
  3. Step 3: Cross multiply
    8,311.72x = 12,465.14 × 6,847.24
  4. Step 4: Simplify right side
    8,311.72x = 85,351,805.21
  5. Step 5: Solve for x
    x = 85,351,805.21/8,311.72
  6. Step 6: Final answer
    x = 10,268.85

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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.