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Finding the Fourth Proportional to 6,754, 9,320.46 and 3,769.64

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Solution

The fourth proportional to 6,754, 9,320.46 and 3,769.64 is: 5,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754 : 9,320.46 = 3,769.64 : x
  2. Step 2: Convert to fraction form
    6,754/9,320.46 = 3,769.64/x
  3. Step 3: Cross multiply
    6,754x = 9,320.46 × 3,769.64
  4. Step 4: Simplify right side
    6,754x = 35,134,778.83
  5. Step 5: Solve for x
    x = 35,134,778.83/6,754
  6. Step 6: Final answer
    x = 5,202.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.