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Finding the Fourth Proportional to 8,221.24, 11,344.86 and 4,495

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Solution

The fourth proportional to 8,221.24, 11,344.86 and 4,495 is: 6,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.24 : 11,344.86 = 4,495 : x
  2. Step 2: Convert to fraction form
    8,221.24/11,344.86 = 4,495/x
  3. Step 3: Cross multiply
    8,221.24x = 11,344.86 × 4,495
  4. Step 4: Simplify right side
    8,221.24x = 50,995,145.70
  5. Step 5: Solve for x
    x = 50,995,145.70/8,221.24
  6. Step 6: Final answer
    x = 6,202.85

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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.