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Finding the Fourth Proportional to 6,964.75, 10,448.10 and 2,034.75

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Solution

The fourth proportional to 6,964.75, 10,448.10 and 2,034.75 is: 3,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.75 : 10,448.10 = 2,034.75 : x
  2. Step 2: Convert to fraction form
    6,964.75/10,448.10 = 2,034.75/x
  3. Step 3: Cross multiply
    6,964.75x = 10,448.10 × 2,034.75
  4. Step 4: Simplify right side
    6,964.75x = 21,259,271.48
  5. Step 5: Solve for x
    x = 21,259,271.48/6,964.75
  6. Step 6: Final answer
    x = 3,052.41

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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.