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Finding the Fourth Proportional to 31,843.55, 47,765.45 and 9,657.11

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Solution

The fourth proportional to 31,843.55, 47,765.45 and 9,657.11 is: 14,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.55 : 47,765.45 = 9,657.11 : x
  2. Step 2: Convert to fraction form
    31,843.55/47,765.45 = 9,657.11/x
  3. Step 3: Cross multiply
    31,843.55x = 47,765.45 × 9,657.11
  4. Step 4: Simplify right side
    31,843.55x = 461,276,348.41
  5. Step 5: Solve for x
    x = 461,276,348.41/31,843.55
  6. Step 6: Final answer
    x = 14,485.71

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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.