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Finding the Fourth Proportional to 31,694.51, 47,538.93 and 9,512.84

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Solution

The fourth proportional to 31,694.51, 47,538.93 and 9,512.84 is: 14,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,694.51 : 47,538.93 = 9,512.84 : x
  2. Step 2: Convert to fraction form
    31,694.51/47,538.93 = 9,512.84/x
  3. Step 3: Cross multiply
    31,694.51x = 47,538.93 × 9,512.84
  4. Step 4: Simplify right side
    31,694.51x = 452,230,234.86
  5. Step 5: Solve for x
    x = 452,230,234.86/31,694.51
  6. Step 6: Final answer
    x = 14,268.41

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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.