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Finding the Fourth Proportional to 6,700, 9,246 and 3,906.04

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Solution

The fourth proportional to 6,700, 9,246 and 3,906.04 is: 5,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700 : 9,246 = 3,906.04 : x
  2. Step 2: Convert to fraction form
    6,700/9,246 = 3,906.04/x
  3. Step 3: Cross multiply
    6,700x = 9,246 × 3,906.04
  4. Step 4: Simplify right side
    6,700x = 36,115,245.84
  5. Step 5: Solve for x
    x = 36,115,245.84/6,700
  6. Step 6: Final answer
    x = 5,390.34

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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.