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Finding the Fourth Proportional to 12,571.17, 17,348.27 and 6,982.17

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Solution

The fourth proportional to 12,571.17, 17,348.27 and 6,982.17 is: 9,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.17 : 17,348.27 = 6,982.17 : x
  2. Step 2: Convert to fraction form
    12,571.17/17,348.27 = 6,982.17/x
  3. Step 3: Cross multiply
    12,571.17x = 17,348.27 × 6,982.17
  4. Step 4: Simplify right side
    12,571.17x = 121,128,535.44
  5. Step 5: Solve for x
    x = 121,128,535.44/12,571.17
  6. Step 6: Final answer
    x = 9,635.42

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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.