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Finding the Fourth Proportional to 12,571.56, 17,348.70 and 6,982.56

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Solution

The fourth proportional to 12,571.56, 17,348.70 and 6,982.56 is: 9,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.56 : 17,348.70 = 6,982.56 : x
  2. Step 2: Convert to fraction form
    12,571.56/17,348.70 = 6,982.56/x
  3. Step 3: Cross multiply
    12,571.56x = 17,348.70 × 6,982.56
  4. Step 4: Simplify right side
    12,571.56x = 121,138,338.67
  5. Step 5: Solve for x
    x = 121,138,338.67/12,571.56
  6. Step 6: Final answer
    x = 9,635.90

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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.