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Finding the Fourth Proportional to 6,314.71, 9,474.79 and 2,617.77

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Solution

The fourth proportional to 6,314.71, 9,474.79 and 2,617.77 is: 3,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.71 : 9,474.79 = 2,617.77 : x
  2. Step 2: Convert to fraction form
    6,314.71/9,474.79 = 2,617.77/x
  3. Step 3: Cross multiply
    6,314.71x = 9,474.79 × 2,617.77
  4. Step 4: Simplify right side
    6,314.71x = 24,802,821.02
  5. Step 5: Solve for x
    x = 24,802,821.02/6,314.71
  6. Step 6: Final answer
    x = 3,927.78

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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.