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Finding the Fourth Proportional to 9,262.55, 13,861.00 and 8,169.05

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Solution

The fourth proportional to 9,262.55, 13,861.00 and 8,169.05 is: 12,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.55 : 13,861.00 = 8,169.05 : x
  2. Step 2: Convert to fraction form
    9,262.55/13,861.00 = 8,169.05/x
  3. Step 3: Cross multiply
    9,262.55x = 13,861.00 × 8,169.05
  4. Step 4: Simplify right side
    9,262.55x = 113,231,161.20
  5. Step 5: Solve for x
    x = 113,231,161.20/9,262.55
  6. Step 6: Final answer
    x = 12,224.62

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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.