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Finding the Fourth Proportional to 6,643.32, 9,964.36 and 2,260.27

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Solution

The fourth proportional to 6,643.32, 9,964.36 and 2,260.27 is: 3,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.32 : 9,964.36 = 2,260.27 : x
  2. Step 2: Convert to fraction form
    6,643.32/9,964.36 = 2,260.27/x
  3. Step 3: Cross multiply
    6,643.32x = 9,964.36 × 2,260.27
  4. Step 4: Simplify right side
    6,643.32x = 22,522,143.98
  5. Step 5: Solve for x
    x = 22,522,143.98/6,643.32
  6. Step 6: Final answer
    x = 3,390.19

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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.