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Finding the Fourth Proportional to 29,189, 43,772.16 and 9,462.80

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Solution

The fourth proportional to 29,189, 43,772.16 and 9,462.80 is: 14,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189 : 43,772.16 = 9,462.80 : x
  2. Step 2: Convert to fraction form
    29,189/43,772.16 = 9,462.80/x
  3. Step 3: Cross multiply
    29,189x = 43,772.16 × 9,462.80
  4. Step 4: Simplify right side
    29,189x = 414,207,195.65
  5. Step 5: Solve for x
    x = 414,207,195.65/29,189
  6. Step 6: Final answer
    x = 14,190.52

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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.