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Finding the Fourth Proportional to 6,643.05, 9,964.82 and 2,259.96

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Solution

The fourth proportional to 6,643.05, 9,964.82 and 2,259.96 is: 3,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.05 : 9,964.82 = 2,259.96 : x
  2. Step 2: Convert to fraction form
    6,643.05/9,964.82 = 2,259.96/x
  3. Step 3: Cross multiply
    6,643.05x = 9,964.82 × 2,259.96
  4. Step 4: Simplify right side
    6,643.05x = 22,520,094.61
  5. Step 5: Solve for x
    x = 22,520,094.61/6,643.05
  6. Step 6: Final answer
    x = 3,390.02

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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.