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Finding the Fourth Proportional to 8,381.44, 12,561.54 and 8,163.40

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Solution

The fourth proportional to 8,381.44, 12,561.54 and 8,163.40 is: 12,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.44 : 12,561.54 = 8,163.40 : x
  2. Step 2: Convert to fraction form
    8,381.44/12,561.54 = 8,163.40/x
  3. Step 3: Cross multiply
    8,381.44x = 12,561.54 × 8,163.40
  4. Step 4: Simplify right side
    8,381.44x = 102,544,875.64
  5. Step 5: Solve for x
    x = 102,544,875.64/8,381.44
  6. Step 6: Final answer
    x = 12,234.76

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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.