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Finding the Fourth Proportional to 22,586.46, 33,861.21 and 8,538.54

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Solution

The fourth proportional to 22,586.46, 33,861.21 and 8,538.54 is: 12,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.46 : 33,861.21 = 8,538.54 : x
  2. Step 2: Convert to fraction form
    22,586.46/33,861.21 = 8,538.54/x
  3. Step 3: Cross multiply
    22,586.46x = 33,861.21 × 8,538.54
  4. Step 4: Simplify right side
    22,586.46x = 289,125,296.03
  5. Step 5: Solve for x
    x = 289,125,296.03/22,586.46
  6. Step 6: Final answer
    x = 12,800.82

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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.