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Finding the Fourth Proportional to 27,794.40, 41,693.76 and 8,073.24

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Solution

The fourth proportional to 27,794.40, 41,693.76 and 8,073.24 is: 12,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.40 : 41,693.76 = 8,073.24 : x
  2. Step 2: Convert to fraction form
    27,794.40/41,693.76 = 8,073.24/x
  3. Step 3: Cross multiply
    27,794.40x = 41,693.76 × 8,073.24
  4. Step 4: Simplify right side
    27,794.40x = 336,603,730.98
  5. Step 5: Solve for x
    x = 336,603,730.98/27,794.40
  6. Step 6: Final answer
    x = 12,110.49

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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.