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Finding the Fourth Proportional to 23,843.31, 35,764.97 and 6,314.51

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Solution

The fourth proportional to 23,843.31, 35,764.97 and 6,314.51 is: 9,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.31 : 35,764.97 = 6,314.51 : x
  2. Step 2: Convert to fraction form
    23,843.31/35,764.97 = 6,314.51/x
  3. Step 3: Cross multiply
    23,843.31x = 35,764.97 × 6,314.51
  4. Step 4: Simplify right side
    23,843.31x = 225,838,050.32
  5. Step 5: Solve for x
    x = 225,838,050.32/23,843.31
  6. Step 6: Final answer
    x = 9,471.76

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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.