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Finding the Fourth Proportional to 23,787, 35,688.24 and 8,997.12

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Solution

The fourth proportional to 23,787, 35,688.24 and 8,997.12 is: 13,498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,787 : 35,688.24 = 8,997.12 : x
  2. Step 2: Convert to fraction form
    23,787/35,688.24 = 8,997.12/x
  3. Step 3: Cross multiply
    23,787x = 35,688.24 × 8,997.12
  4. Step 4: Simplify right side
    23,787x = 321,091,377.87
  5. Step 5: Solve for x
    x = 321,091,377.87/23,787
  6. Step 6: Final answer
    x = 13,498.61

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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.