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Finding the Fourth Proportional to 27,466.62, 41,202.42 and 7,745.40

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Solution

The fourth proportional to 27,466.62, 41,202.42 and 7,745.40 is: 11,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,466.62 : 41,202.42 = 7,745.40 : x
  2. Step 2: Convert to fraction form
    27,466.62/41,202.42 = 7,745.40/x
  3. Step 3: Cross multiply
    27,466.62x = 41,202.42 × 7,745.40
  4. Step 4: Simplify right side
    27,466.62x = 319,129,223.87
  5. Step 5: Solve for x
    x = 319,129,223.87/27,466.62
  6. Step 6: Final answer
    x = 11,618.80

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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.