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Finding the Fourth Proportional to 6,642.65, 9,964.64 and 2,260.41

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Solution

The fourth proportional to 6,642.65, 9,964.64 and 2,260.41 is: 3,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.65 : 9,964.64 = 2,260.41 : x
  2. Step 2: Convert to fraction form
    6,642.65/9,964.64 = 2,260.41/x
  3. Step 3: Cross multiply
    6,642.65x = 9,964.64 × 2,260.41
  4. Step 4: Simplify right side
    6,642.65x = 22,524,177.55
  5. Step 5: Solve for x
    x = 22,524,177.55/6,642.65
  6. Step 6: Final answer
    x = 3,390.84

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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.