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Finding the Fourth Proportional to 6,361.38, 9,535.98 and 2,849.42

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Solution

The fourth proportional to 6,361.38, 9,535.98 and 2,849.42 is: 4,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.38 : 9,535.98 = 2,849.42 : x
  2. Step 2: Convert to fraction form
    6,361.38/9,535.98 = 2,849.42/x
  3. Step 3: Cross multiply
    6,361.38x = 9,535.98 × 2,849.42
  4. Step 4: Simplify right side
    6,361.38x = 27,172,012.13
  5. Step 5: Solve for x
    x = 27,172,012.13/6,361.38
  6. Step 6: Final answer
    x = 4,271.40

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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.