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Finding the Fourth Proportional to 4,229.96, 6,344.96 and 2,564.50

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Solution

The fourth proportional to 4,229.96, 6,344.96 and 2,564.50 is: 3,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.96 : 6,344.96 = 2,564.50 : x
  2. Step 2: Convert to fraction form
    4,229.96/6,344.96 = 2,564.50/x
  3. Step 3: Cross multiply
    4,229.96x = 6,344.96 × 2,564.50
  4. Step 4: Simplify right side
    4,229.96x = 16,271,649.92
  5. Step 5: Solve for x
    x = 16,271,649.92/4,229.96
  6. Step 6: Final answer
    x = 3,846.76

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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.