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Finding the Fourth Proportional to 6,700.38, 9,246.24 and 3,716.34

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Solution

The fourth proportional to 6,700.38, 9,246.24 and 3,716.34 is: 5,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.38 : 9,246.24 = 3,716.34 : x
  2. Step 2: Convert to fraction form
    6,700.38/9,246.24 = 3,716.34/x
  3. Step 3: Cross multiply
    6,700.38x = 9,246.24 × 3,716.34
  4. Step 4: Simplify right side
    6,700.38x = 34,362,171.56
  5. Step 5: Solve for x
    x = 34,362,171.56/6,700.38
  6. Step 6: Final answer
    x = 5,128.39

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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.