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Finding the Fourth Proportional to 23,857.92, 35,790.54 and 7,842.42

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Solution

The fourth proportional to 23,857.92, 35,790.54 and 7,842.42 is: 11,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.92 : 35,790.54 = 7,842.42 : x
  2. Step 2: Convert to fraction form
    23,857.92/35,790.54 = 7,842.42/x
  3. Step 3: Cross multiply
    23,857.92x = 35,790.54 × 7,842.42
  4. Step 4: Simplify right side
    23,857.92x = 280,684,446.71
  5. Step 5: Solve for x
    x = 280,684,446.71/23,857.92
  6. Step 6: Final answer
    x = 11,764.83

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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.