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Finding the Fourth Proportional to 6,644.43, 9,967.98 and 1,964.52

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Solution

The fourth proportional to 6,644.43, 9,967.98 and 1,964.52 is: 2,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.43 : 9,967.98 = 1,964.52 : x
  2. Step 2: Convert to fraction form
    6,644.43/9,967.98 = 1,964.52/x
  3. Step 3: Cross multiply
    6,644.43x = 9,967.98 × 1,964.52
  4. Step 4: Simplify right side
    6,644.43x = 19,582,296.07
  5. Step 5: Solve for x
    x = 19,582,296.07/6,644.43
  6. Step 6: Final answer
    x = 2,947.17

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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.