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Finding the Fourth Proportional to 6,103.53, 9,155.30 and 5,791.89

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Solution

The fourth proportional to 6,103.53, 9,155.30 and 5,791.89 is: 8,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.53 : 9,155.30 = 5,791.89 : x
  2. Step 2: Convert to fraction form
    6,103.53/9,155.30 = 5,791.89/x
  3. Step 3: Cross multiply
    6,103.53x = 9,155.30 × 5,791.89
  4. Step 4: Simplify right side
    6,103.53x = 53,026,470.66
  5. Step 5: Solve for x
    x = 53,026,470.66/6,103.53
  6. Step 6: Final answer
    x = 8,687.83

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1.5x scale

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.