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Finding the Fourth Proportional to 15,997.64, 23,996.23 and 7,226.42

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Solution

The fourth proportional to 15,997.64, 23,996.23 and 7,226.42 is: 10,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.64 : 23,996.23 = 7,226.42 : x
  2. Step 2: Convert to fraction form
    15,997.64/23,996.23 = 7,226.42/x
  3. Step 3: Cross multiply
    15,997.64x = 23,996.23 × 7,226.42
  4. Step 4: Simplify right side
    15,997.64x = 173,406,698.35
  5. Step 5: Solve for x
    x = 173,406,698.35/15,997.64
  6. Step 6: Final answer
    x = 10,839.52

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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.