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Finding the Fourth Proportional to 23,867.97, 35,800.12 and 8,074.32

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Solution

The fourth proportional to 23,867.97, 35,800.12 and 8,074.32 is: 12,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,867.97 : 35,800.12 = 8,074.32 : x
  2. Step 2: Convert to fraction form
    23,867.97/35,800.12 = 8,074.32/x
  3. Step 3: Cross multiply
    23,867.97x = 35,800.12 × 8,074.32
  4. Step 4: Simplify right side
    23,867.97x = 289,061,624.92
  5. Step 5: Solve for x
    x = 289,061,624.92/23,867.97
  6. Step 6: Final answer
    x = 12,110.86

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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.