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Finding the Fourth Proportional to 8,188.31, 11,299.87 and 4,462.31

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Solution

The fourth proportional to 8,188.31, 11,299.87 and 4,462.31 is: 6,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.31 : 11,299.87 = 4,462.31 : x
  2. Step 2: Convert to fraction form
    8,188.31/11,299.87 = 4,462.31/x
  3. Step 3: Cross multiply
    8,188.31x = 11,299.87 × 4,462.31
  4. Step 4: Simplify right side
    8,188.31x = 50,423,522.90
  5. Step 5: Solve for x
    x = 50,423,522.90/8,188.31
  6. Step 6: Final answer
    x = 6,157.99

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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.