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Finding the Fourth Proportional to 6,643.76, 9,967.05 and 2,264.09

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Solution

The fourth proportional to 6,643.76, 9,967.05 and 2,264.09 is: 3,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.76 : 9,967.05 = 2,264.09 : x
  2. Step 2: Convert to fraction form
    6,643.76/9,967.05 = 2,264.09/x
  3. Step 3: Cross multiply
    6,643.76x = 9,967.05 × 2,264.09
  4. Step 4: Simplify right side
    6,643.76x = 22,566,248.40
  5. Step 5: Solve for x
    x = 22,566,248.40/6,643.76
  6. Step 6: Final answer
    x = 3,396.61

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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.