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Finding the Fourth Proportional to 27,605.25, 41,408.01 and 6,828.75

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Solution

The fourth proportional to 27,605.25, 41,408.01 and 6,828.75 is: 10,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.25 : 41,408.01 = 6,828.75 : x
  2. Step 2: Convert to fraction form
    27,605.25/41,408.01 = 6,828.75/x
  3. Step 3: Cross multiply
    27,605.25x = 41,408.01 × 6,828.75
  4. Step 4: Simplify right side
    27,605.25x = 282,764,948.29
  5. Step 5: Solve for x
    x = 282,764,948.29/27,605.25
  6. Step 6: Final answer
    x = 10,243.16

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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.