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Finding the Fourth Proportional to 27,798.54, 41,701.88 and 8,074.54

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Solution

The fourth proportional to 27,798.54, 41,701.88 and 8,074.54 is: 12,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798.54 : 41,701.88 = 8,074.54 : x
  2. Step 2: Convert to fraction form
    27,798.54/41,701.88 = 8,074.54/x
  3. Step 3: Cross multiply
    27,798.54x = 41,701.88 × 8,074.54
  4. Step 4: Simplify right side
    27,798.54x = 336,723,498.14
  5. Step 5: Solve for x
    x = 336,723,498.14/27,798.54
  6. Step 6: Final answer
    x = 12,112.99

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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.