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Finding the Fourth Proportional to 6,474.06, 9,712.63 and 3,843.85

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Solution

The fourth proportional to 6,474.06, 9,712.63 and 3,843.85 is: 5,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.06 : 9,712.63 = 3,843.85 : x
  2. Step 2: Convert to fraction form
    6,474.06/9,712.63 = 3,843.85/x
  3. Step 3: Cross multiply
    6,474.06x = 9,712.63 × 3,843.85
  4. Step 4: Simplify right side
    6,474.06x = 37,333,892.83
  5. Step 5: Solve for x
    x = 37,333,892.83/6,474.06
  6. Step 6: Final answer
    x = 5,766.69

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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.