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Finding the Fourth Proportional to 31,694.76, 47,539.31 and 9,513.09

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Solution

The fourth proportional to 31,694.76, 47,539.31 and 9,513.09 is: 14,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,694.76 : 47,539.31 = 9,513.09 : x
  2. Step 2: Convert to fraction form
    31,694.76/47,539.31 = 9,513.09/x
  3. Step 3: Cross multiply
    31,694.76x = 47,539.31 × 9,513.09
  4. Step 4: Simplify right side
    31,694.76x = 452,245,687.00
  5. Step 5: Solve for x
    x = 452,245,687.00/31,694.76
  6. Step 6: Final answer
    x = 14,268.78

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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.