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Finding the Fourth Proportional to 11,713.77, 17,571.20 and 6,515.73

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Solution

The fourth proportional to 11,713.77, 17,571.20 and 6,515.73 is: 9,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.77 : 17,571.20 = 6,515.73 : x
  2. Step 2: Convert to fraction form
    11,713.77/17,571.20 = 6,515.73/x
  3. Step 3: Cross multiply
    11,713.77x = 17,571.20 × 6,515.73
  4. Step 4: Simplify right side
    11,713.77x = 114,489,162.40
  5. Step 5: Solve for x
    x = 114,489,162.40/11,713.77
  6. Step 6: Final answer
    x = 9,773.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.