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Finding the Fourth Proportional to 12,832.19, 17,694.42 and 8,347.62

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Solution

The fourth proportional to 12,832.19, 17,694.42 and 8,347.62 is: 11,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.19 : 17,694.42 = 8,347.62 : x
  2. Step 2: Convert to fraction form
    12,832.19/17,694.42 = 8,347.62/x
  3. Step 3: Cross multiply
    12,832.19x = 17,694.42 × 8,347.62
  4. Step 4: Simplify right side
    12,832.19x = 147,706,294.28
  5. Step 5: Solve for x
    x = 147,706,294.28/12,832.19
  6. Step 6: Final answer
    x = 11,510.61

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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.