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Finding the Fourth Proportional to 6,361.05, 9,543.57 and 2,854

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Solution

The fourth proportional to 6,361.05, 9,543.57 and 2,854 is: 4,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.05 : 9,543.57 = 2,854 : x
  2. Step 2: Convert to fraction form
    6,361.05/9,543.57 = 2,854/x
  3. Step 3: Cross multiply
    6,361.05x = 9,543.57 × 2,854
  4. Step 4: Simplify right side
    6,361.05x = 27,237,348.78
  5. Step 5: Solve for x
    x = 27,237,348.78/6,361.05
  6. Step 6: Final answer
    x = 4,281.90

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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.