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Finding the Fourth Proportional to 27,465.71, 41,194.91 and 7,745.85

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Solution

The fourth proportional to 27,465.71, 41,194.91 and 7,745.85 is: 11,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465.71 : 41,194.91 = 7,745.85 : x
  2. Step 2: Convert to fraction form
    27,465.71/41,194.91 = 7,745.85/x
  3. Step 3: Cross multiply
    27,465.71x = 41,194.91 × 7,745.85
  4. Step 4: Simplify right side
    27,465.71x = 319,089,612.99
  5. Step 5: Solve for x
    x = 319,089,612.99/27,465.71
  6. Step 6: Final answer
    x = 11,617.75

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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.