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Finding the Fourth Proportional to 15,910.68, 23,877 and 5,522.42

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Solution

The fourth proportional to 15,910.68, 23,877 and 5,522.42 is: 8,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,910.68 : 23,877 = 5,522.42 : x
  2. Step 2: Convert to fraction form
    15,910.68/23,877 = 5,522.42/x
  3. Step 3: Cross multiply
    15,910.68x = 23,877 × 5,522.42
  4. Step 4: Simplify right side
    15,910.68x = 131,858,822.34
  5. Step 5: Solve for x
    x = 131,858,822.34/15,910.68
  6. Step 6: Final answer
    x = 8,287.44

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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.