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Finding the Fourth Proportional to 6,964.88, 10,448.32 and 2,033.88

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Solution

The fourth proportional to 6,964.88, 10,448.32 and 2,033.88 is: 3,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.88 : 10,448.32 = 2,033.88 : x
  2. Step 2: Convert to fraction form
    6,964.88/10,448.32 = 2,033.88/x
  3. Step 3: Cross multiply
    6,964.88x = 10,448.32 × 2,033.88
  4. Step 4: Simplify right side
    6,964.88x = 21,250,629.08
  5. Step 5: Solve for x
    x = 21,250,629.08/6,964.88
  6. Step 6: Final answer
    x = 3,051.11

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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.