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Finding the Fourth Proportional to 27,446.42, 41,166.92 and 7,724.54

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Solution

The fourth proportional to 27,446.42, 41,166.92 and 7,724.54 is: 11,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.42 : 41,166.92 = 7,724.54 : x
  2. Step 2: Convert to fraction form
    27,446.42/41,166.92 = 7,724.54/x
  3. Step 3: Cross multiply
    27,446.42x = 41,166.92 × 7,724.54
  4. Step 4: Simplify right side
    27,446.42x = 317,995,520.22
  5. Step 5: Solve for x
    x = 317,995,520.22/27,446.42
  6. Step 6: Final answer
    x = 11,586.05

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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.