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Finding the Fourth Proportional to 6,311.82, 8,710.48 and 3,623.26

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Solution

The fourth proportional to 6,311.82, 8,710.48 and 3,623.26 is: 5,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.82 : 8,710.48 = 3,623.26 : x
  2. Step 2: Convert to fraction form
    6,311.82/8,710.48 = 3,623.26/x
  3. Step 3: Cross multiply
    6,311.82x = 8,710.48 × 3,623.26
  4. Step 4: Simplify right side
    6,311.82x = 31,560,333.76
  5. Step 5: Solve for x
    x = 31,560,333.76/6,311.82
  6. Step 6: Final answer
    x = 5,000.20

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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.