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Finding the Fourth Proportional to 27,491.91, 41,237.87 and 7,768.82

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Solution

The fourth proportional to 27,491.91, 41,237.87 and 7,768.82 is: 11,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,491.91 : 41,237.87 = 7,768.82 : x
  2. Step 2: Convert to fraction form
    27,491.91/41,237.87 = 7,768.82/x
  3. Step 3: Cross multiply
    27,491.91x = 41,237.87 × 7,768.82
  4. Step 4: Simplify right side
    27,491.91x = 320,369,344.18
  5. Step 5: Solve for x
    x = 320,369,344.18/27,491.91
  6. Step 6: Final answer
    x = 11,653.22

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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.