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Finding the Fourth Proportional to 10,796.71, 16,169.97 and 10,422.57

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Solution

The fourth proportional to 10,796.71, 16,169.97 and 10,422.57 is: 15,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.71 : 16,169.97 = 10,422.57 : x
  2. Step 2: Convert to fraction form
    10,796.71/16,169.97 = 10,422.57/x
  3. Step 3: Cross multiply
    10,796.71x = 16,169.97 × 10,422.57
  4. Step 4: Simplify right side
    10,796.71x = 168,532,644.22
  5. Step 5: Solve for x
    x = 168,532,644.22/10,796.71
  6. Step 6: Final answer
    x = 15,609.63

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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.