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Finding the Fourth Proportional to 6,694.91, 9,238.47 and 3,710.69

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Solution

The fourth proportional to 6,694.91, 9,238.47 and 3,710.69 is: 5,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.91 : 9,238.47 = 3,710.69 : x
  2. Step 2: Convert to fraction form
    6,694.91/9,238.47 = 3,710.69/x
  3. Step 3: Cross multiply
    6,694.91x = 9,238.47 × 3,710.69
  4. Step 4: Simplify right side
    6,694.91x = 34,281,052.05
  5. Step 5: Solve for x
    x = 34,281,052.05/6,694.91
  6. Step 6: Final answer
    x = 5,120.46

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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.