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Finding the Fourth Proportional to 27,217, 40,826.91 and 7,495.12

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Solution

The fourth proportional to 27,217, 40,826.91 and 7,495.12 is: 11,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,217 : 40,826.91 = 7,495.12 : x
  2. Step 2: Convert to fraction form
    27,217/40,826.91 = 7,495.12/x
  3. Step 3: Cross multiply
    27,217x = 40,826.91 × 7,495.12
  4. Step 4: Simplify right side
    27,217x = 306,002,589.68
  5. Step 5: Solve for x
    x = 306,002,589.68/27,217
  6. Step 6: Final answer
    x = 11,243.07

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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.