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Finding the Fourth Proportional to 7,832.94, 11,749.41 and 3,936.42

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Solution

The fourth proportional to 7,832.94, 11,749.41 and 3,936.42 is: 5,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.94 : 11,749.41 = 3,936.42 : x
  2. Step 2: Convert to fraction form
    7,832.94/11,749.41 = 3,936.42/x
  3. Step 3: Cross multiply
    7,832.94x = 11,749.41 × 3,936.42
  4. Step 4: Simplify right side
    7,832.94x = 46,250,612.51
  5. Step 5: Solve for x
    x = 46,250,612.51/7,832.94
  6. Step 6: Final answer
    x = 5,904.63

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Similar ratio
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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.