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Finding the Fourth Proportional to 10,644.97, 15,967.46 and 3,249.47

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Solution

The fourth proportional to 10,644.97, 15,967.46 and 3,249.47 is: 4,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.97 : 15,967.46 = 3,249.47 : x
  2. Step 2: Convert to fraction form
    10,644.97/15,967.46 = 3,249.47/x
  3. Step 3: Cross multiply
    10,644.97x = 15,967.46 × 3,249.47
  4. Step 4: Simplify right side
    10,644.97x = 51,885,782.25
  5. Step 5: Solve for x
    x = 51,885,782.25/10,644.97
  6. Step 6: Final answer
    x = 4,874.21

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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.