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Finding the Fourth Proportional to 31,773.40, 47,660.44 and 9,586.97

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Solution

The fourth proportional to 31,773.40, 47,660.44 and 9,586.97 is: 14,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.40 : 47,660.44 = 9,586.97 : x
  2. Step 2: Convert to fraction form
    31,773.40/47,660.44 = 9,586.97/x
  3. Step 3: Cross multiply
    31,773.40x = 47,660.44 × 9,586.97
  4. Step 4: Simplify right side
    31,773.40x = 456,919,208.47
  5. Step 5: Solve for x
    x = 456,919,208.47/31,773.40
  6. Step 6: Final answer
    x = 14,380.56

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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.