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Finding the Fourth Proportional to 6,522.53, 9,781.46 and 2,361.46

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Solution

The fourth proportional to 6,522.53, 9,781.46 and 2,361.46 is: 3,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.53 : 9,781.46 = 2,361.46 : x
  2. Step 2: Convert to fraction form
    6,522.53/9,781.46 = 2,361.46/x
  3. Step 3: Cross multiply
    6,522.53x = 9,781.46 × 2,361.46
  4. Step 4: Simplify right side
    6,522.53x = 23,098,507.98
  5. Step 5: Solve for x
    x = 23,098,507.98/6,522.53
  6. Step 6: Final answer
    x = 3,541.34

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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.