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Finding the Fourth Proportional to 6,133.92, 8,461.44 and 3,894.28

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Solution

The fourth proportional to 6,133.92, 8,461.44 and 3,894.28 is: 5,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.92 : 8,461.44 = 3,894.28 : x
  2. Step 2: Convert to fraction form
    6,133.92/8,461.44 = 3,894.28/x
  3. Step 3: Cross multiply
    6,133.92x = 8,461.44 × 3,894.28
  4. Step 4: Simplify right side
    6,133.92x = 32,951,216.56
  5. Step 5: Solve for x
    x = 32,951,216.56/6,133.92
  6. Step 6: Final answer
    x = 5,371.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.