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Finding the Fourth Proportional to 23,797.36, 35,683.98 and 7,996.78

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Solution

The fourth proportional to 23,797.36, 35,683.98 and 7,996.78 is: 11,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.36 : 35,683.98 = 7,996.78 : x
  2. Step 2: Convert to fraction form
    23,797.36/35,683.98 = 7,996.78/x
  3. Step 3: Cross multiply
    23,797.36x = 35,683.98 × 7,996.78
  4. Step 4: Simplify right side
    23,797.36x = 285,356,937.58
  5. Step 5: Solve for x
    x = 285,356,937.58/23,797.36
  6. Step 6: Final answer
    x = 11,991.12

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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.