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Finding the Fourth Proportional to 6,311.16, 8,708.81 and 3,658.73

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Solution

The fourth proportional to 6,311.16, 8,708.81 and 3,658.73 is: 5,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.16 : 8,708.81 = 3,658.73 : x
  2. Step 2: Convert to fraction form
    6,311.16/8,708.81 = 3,658.73/x
  3. Step 3: Cross multiply
    6,311.16x = 8,708.81 × 3,658.73
  4. Step 4: Simplify right side
    6,311.16x = 31,863,122.57
  5. Step 5: Solve for x
    x = 31,863,122.57/6,311.16
  6. Step 6: Final answer
    x = 5,048.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.