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Finding the Fourth Proportional to 11,827.43, 16,321.18 and 7,351.07

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Solution

The fourth proportional to 11,827.43, 16,321.18 and 7,351.07 is: 10,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.43 : 16,321.18 = 7,351.07 : x
  2. Step 2: Convert to fraction form
    11,827.43/16,321.18 = 7,351.07/x
  3. Step 3: Cross multiply
    11,827.43x = 16,321.18 × 7,351.07
  4. Step 4: Simplify right side
    11,827.43x = 119,978,136.66
  5. Step 5: Solve for x
    x = 119,978,136.66/11,827.43
  6. Step 6: Final answer
    x = 10,144.06

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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.