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Finding the Fourth Proportional to 6,694.62, 9,237.96 and 3,710.31

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Solution

The fourth proportional to 6,694.62, 9,237.96 and 3,710.31 is: 5,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.62 : 9,237.96 = 3,710.31 : x
  2. Step 2: Convert to fraction form
    6,694.62/9,237.96 = 3,710.31/x
  3. Step 3: Cross multiply
    6,694.62x = 9,237.96 × 3,710.31
  4. Step 4: Simplify right side
    6,694.62x = 34,275,695.37
  5. Step 5: Solve for x
    x = 34,275,695.37/6,694.62
  6. Step 6: Final answer
    x = 5,119.89

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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.