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Finding the Fourth Proportional to 6,986.48, 10,484.97 and 3,700.31

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Solution

The fourth proportional to 6,986.48, 10,484.97 and 3,700.31 is: 5,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.48 : 10,484.97 = 3,700.31 : x
  2. Step 2: Convert to fraction form
    6,986.48/10,484.97 = 3,700.31/x
  3. Step 3: Cross multiply
    6,986.48x = 10,484.97 × 3,700.31
  4. Step 4: Simplify right side
    6,986.48x = 38,797,586.92
  5. Step 5: Solve for x
    x = 38,797,586.92/6,986.48
  6. Step 6: Final answer
    x = 5,553.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.