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Finding the Fourth Proportional to 12,832.67, 17,707.84 and 7,166.97

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Solution

The fourth proportional to 12,832.67, 17,707.84 and 7,166.97 is: 9,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.67 : 17,707.84 = 7,166.97 : x
  2. Step 2: Convert to fraction form
    12,832.67/17,707.84 = 7,166.97/x
  3. Step 3: Cross multiply
    12,832.67x = 17,707.84 × 7,166.97
  4. Step 4: Simplify right side
    12,832.67x = 126,911,540.13
  5. Step 5: Solve for x
    x = 126,911,540.13/12,832.67
  6. Step 6: Final answer
    x = 9,889.72

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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.