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Finding the Fourth Proportional to 12,682.17, 17,502.08 and 7,967.97

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Solution

The fourth proportional to 12,682.17, 17,502.08 and 7,967.97 is: 10,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.17 : 17,502.08 = 7,967.97 : x
  2. Step 2: Convert to fraction form
    12,682.17/17,502.08 = 7,967.97/x
  3. Step 3: Cross multiply
    12,682.17x = 17,502.08 × 7,967.97
  4. Step 4: Simplify right side
    12,682.17x = 139,456,008.54
  5. Step 5: Solve for x
    x = 139,456,008.54/12,682.17
  6. Step 6: Final answer
    x = 10,996.23

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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.