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Finding the Fourth Proportional to 27,912.93, 41,873.58 and 8,189.16

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Solution

The fourth proportional to 27,912.93, 41,873.58 and 8,189.16 is: 12,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912.93 : 41,873.58 = 8,189.16 : x
  2. Step 2: Convert to fraction form
    27,912.93/41,873.58 = 8,189.16/x
  3. Step 3: Cross multiply
    27,912.93x = 41,873.58 × 8,189.16
  4. Step 4: Simplify right side
    27,912.93x = 342,909,446.39
  5. Step 5: Solve for x
    x = 342,909,446.39/27,912.93
  6. Step 6: Final answer
    x = 12,284.97

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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.