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Finding the Fourth Proportional to 27,904.08, 41,855.55 and 8,182.20

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Solution

The fourth proportional to 27,904.08, 41,855.55 and 8,182.20 is: 12,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.08 : 41,855.55 = 8,182.20 : x
  2. Step 2: Convert to fraction form
    27,904.08/41,855.55 = 8,182.20/x
  3. Step 3: Cross multiply
    27,904.08x = 41,855.55 × 8,182.20
  4. Step 4: Simplify right side
    27,904.08x = 342,470,481.21
  5. Step 5: Solve for x
    x = 342,470,481.21/27,904.08
  6. Step 6: Final answer
    x = 12,273.13

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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.