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Finding the Fourth Proportional to 23,769, 35,625.66 and 8,172.84

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Solution

The fourth proportional to 23,769, 35,625.66 and 8,172.84 is: 12,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769 : 35,625.66 = 8,172.84 : x
  2. Step 2: Convert to fraction form
    23,769/35,625.66 = 8,172.84/x
  3. Step 3: Cross multiply
    23,769x = 35,625.66 × 8,172.84
  4. Step 4: Simplify right side
    23,769x = 291,162,819.07
  5. Step 5: Solve for x
    x = 291,162,819.07/23,769
  6. Step 6: Final answer
    x = 12,249.69

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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.