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Finding the Fourth Proportional to 12,833.67, 17,709.22 and 7,167.97

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Solution

The fourth proportional to 12,833.67, 17,709.22 and 7,167.97 is: 9,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.67 : 17,709.22 = 7,167.97 : x
  2. Step 2: Convert to fraction form
    12,833.67/17,709.22 = 7,167.97/x
  3. Step 3: Cross multiply
    12,833.67x = 17,709.22 × 7,167.97
  4. Step 4: Simplify right side
    12,833.67x = 126,939,157.68
  5. Step 5: Solve for x
    x = 126,939,157.68/12,833.67
  6. Step 6: Final answer
    x = 9,891.10

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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.