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Finding the Fourth Proportional to 4,906.92, 6,774.12 and 3,785.43

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Solution

The fourth proportional to 4,906.92, 6,774.12 and 3,785.43 is: 5,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.92 : 6,774.12 = 3,785.43 : x
  2. Step 2: Convert to fraction form
    4,906.92/6,774.12 = 3,785.43/x
  3. Step 3: Cross multiply
    4,906.92x = 6,774.12 × 3,785.43
  4. Step 4: Simplify right side
    4,906.92x = 25,642,957.07
  5. Step 5: Solve for x
    x = 25,642,957.07/4,906.92
  6. Step 6: Final answer
    x = 5,225.88

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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.