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Finding the Fourth Proportional to 4,906.32, 6,764.22 and 4,063.92

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Solution

The fourth proportional to 4,906.32, 6,764.22 and 4,063.92 is: 5,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.32 : 6,764.22 = 4,063.92 : x
  2. Step 2: Convert to fraction form
    4,906.32/6,764.22 = 4,063.92/x
  3. Step 3: Cross multiply
    4,906.32x = 6,764.22 × 4,063.92
  4. Step 4: Simplify right side
    4,906.32x = 27,489,248.94
  5. Step 5: Solve for x
    x = 27,489,248.94/4,906.32
  6. Step 6: Final answer
    x = 5,602.82

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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.