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Finding the Fourth Proportional to 27,865.26, 41,800.59 and 8,144.10

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Solution

The fourth proportional to 27,865.26, 41,800.59 and 8,144.10 is: 12,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.26 : 41,800.59 = 8,144.10 : x
  2. Step 2: Convert to fraction form
    27,865.26/41,800.59 = 8,144.10/x
  3. Step 3: Cross multiply
    27,865.26x = 41,800.59 × 8,144.10
  4. Step 4: Simplify right side
    27,865.26x = 340,428,185.02
  5. Step 5: Solve for x
    x = 340,428,185.02/27,865.26
  6. Step 6: Final answer
    x = 12,216.94

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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.