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Finding the Fourth Proportional to 6,895, 10,338.36 and 2,510.92

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Solution

The fourth proportional to 6,895, 10,338.36 and 2,510.92 is: 3,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895 : 10,338.36 = 2,510.92 : x
  2. Step 2: Convert to fraction form
    6,895/10,338.36 = 2,510.92/x
  3. Step 3: Cross multiply
    6,895x = 10,338.36 × 2,510.92
  4. Step 4: Simplify right side
    6,895x = 25,958,794.89
  5. Step 5: Solve for x
    x = 25,958,794.89/6,895
  6. Step 6: Final answer
    x = 3,764.87

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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.