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Finding the Fourth Proportional to 13,861.62, 20,784.07 and 5,846.83

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Solution

The fourth proportional to 13,861.62, 20,784.07 and 5,846.83 is: 8,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.62 : 20,784.07 = 5,846.83 : x
  2. Step 2: Convert to fraction form
    13,861.62/20,784.07 = 5,846.83/x
  3. Step 3: Cross multiply
    13,861.62x = 20,784.07 × 5,846.83
  4. Step 4: Simplify right side
    13,861.62x = 121,520,790.84
  5. Step 5: Solve for x
    x = 121,520,790.84/13,861.62
  6. Step 6: Final answer
    x = 8,766.71

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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.