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Finding the Fourth Proportional to 6,361.80, 9,537 and 3,240.06

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Solution

The fourth proportional to 6,361.80, 9,537 and 3,240.06 is: 4,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.80 : 9,537 = 3,240.06 : x
  2. Step 2: Convert to fraction form
    6,361.80/9,537 = 3,240.06/x
  3. Step 3: Cross multiply
    6,361.80x = 9,537 × 3,240.06
  4. Step 4: Simplify right side
    6,361.80x = 30,900,452.22
  5. Step 5: Solve for x
    x = 30,900,452.22/6,361.80
  6. Step 6: Final answer
    x = 4,857.19

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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.