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Finding the Fourth Proportional to 27,424.00, 41,135.99 and 6,647.50

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Solution

The fourth proportional to 27,424.00, 41,135.99 and 6,647.50 is: 9,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.00 : 41,135.99 = 6,647.50 : x
  2. Step 2: Convert to fraction form
    27,424.00/41,135.99 = 6,647.50/x
  3. Step 3: Cross multiply
    27,424.00x = 41,135.99 × 6,647.50
  4. Step 4: Simplify right side
    27,424.00x = 273,451,287.85
  5. Step 5: Solve for x
    x = 273,451,287.85/27,424.00
  6. Step 6: Final answer
    x = 9,971.24

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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.