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Finding the Fourth Proportional to 23,857.72, 35,786.90 and 7,217.92

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Solution

The fourth proportional to 23,857.72, 35,786.90 and 7,217.92 is: 10,826.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.72 : 35,786.90 = 7,217.92 : x
  2. Step 2: Convert to fraction form
    23,857.72/35,786.90 = 7,217.92/x
  3. Step 3: Cross multiply
    23,857.72x = 35,786.90 × 7,217.92
  4. Step 4: Simplify right side
    23,857.72x = 258,306,981.25
  5. Step 5: Solve for x
    x = 258,306,981.25/23,857.72
  6. Step 6: Final answer
    x = 10,826.98

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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.