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Finding the Fourth Proportional to 6,907.75, 10,361.67 and 2,290.75

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Solution

The fourth proportional to 6,907.75, 10,361.67 and 2,290.75 is: 3,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.75 : 10,361.67 = 2,290.75 : x
  2. Step 2: Convert to fraction form
    6,907.75/10,361.67 = 2,290.75/x
  3. Step 3: Cross multiply
    6,907.75x = 10,361.67 × 2,290.75
  4. Step 4: Simplify right side
    6,907.75x = 23,735,995.55
  5. Step 5: Solve for x
    x = 23,735,995.55/6,907.75
  6. Step 6: Final answer
    x = 3,436.14

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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.