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Finding the Fourth Proportional to 29,975.04, 44,962.56 and 9,198.54

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Solution

The fourth proportional to 29,975.04, 44,962.56 and 9,198.54 is: 13,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,975.04 : 44,962.56 = 9,198.54 : x
  2. Step 2: Convert to fraction form
    29,975.04/44,962.56 = 9,198.54/x
  3. Step 3: Cross multiply
    29,975.04x = 44,962.56 × 9,198.54
  4. Step 4: Simplify right side
    29,975.04x = 413,589,906.66
  5. Step 5: Solve for x
    x = 413,589,906.66/29,975.04
  6. Step 6: Final answer
    x = 13,797.81

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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.