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Finding the Fourth Proportional to 6,644.65, 9,970.34 and 3,682.52

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Solution

The fourth proportional to 6,644.65, 9,970.34 and 3,682.52 is: 5,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.65 : 9,970.34 = 3,682.52 : x
  2. Step 2: Convert to fraction form
    6,644.65/9,970.34 = 3,682.52/x
  3. Step 3: Cross multiply
    6,644.65x = 9,970.34 × 3,682.52
  4. Step 4: Simplify right side
    6,644.65x = 36,715,976.46
  5. Step 5: Solve for x
    x = 36,715,976.46/6,644.65
  6. Step 6: Final answer
    x = 5,525.64

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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.