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Finding the Fourth Proportional to 8,361.96, 12,544.23 and 2,814.86

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Solution

The fourth proportional to 8,361.96, 12,544.23 and 2,814.86 is: 4,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.96 : 12,544.23 = 2,814.86 : x
  2. Step 2: Convert to fraction form
    8,361.96/12,544.23 = 2,814.86/x
  3. Step 3: Cross multiply
    8,361.96x = 12,544.23 × 2,814.86
  4. Step 4: Simplify right side
    8,361.96x = 35,310,237.18
  5. Step 5: Solve for x
    x = 35,310,237.18/8,361.96
  6. Step 6: Final answer
    x = 4,222.73

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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.