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Finding the Fourth Proportional to 12,832.70, 17,709.84 and 9,057.09

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Solution

The fourth proportional to 12,832.70, 17,709.84 and 9,057.09 is: 12,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.70 : 17,709.84 = 9,057.09 : x
  2. Step 2: Convert to fraction form
    12,832.70/17,709.84 = 9,057.09/x
  3. Step 3: Cross multiply
    12,832.70x = 17,709.84 × 9,057.09
  4. Step 4: Simplify right side
    12,832.70x = 160,399,614.77
  5. Step 5: Solve for x
    x = 160,399,614.77/12,832.70
  6. Step 6: Final answer
    x = 12,499.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.