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Finding the Fourth Proportional to 12,871.12, 17,761.86 and 7,282.12

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Solution

The fourth proportional to 12,871.12, 17,761.86 and 7,282.12 is: 10,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.12 : 17,761.86 = 7,282.12 : x
  2. Step 2: Convert to fraction form
    12,871.12/17,761.86 = 7,282.12/x
  3. Step 3: Cross multiply
    12,871.12x = 17,761.86 × 7,282.12
  4. Step 4: Simplify right side
    12,871.12x = 129,343,995.94
  5. Step 5: Solve for x
    x = 129,343,995.94/12,871.12
  6. Step 6: Final answer
    x = 10,049.16

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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.