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Finding the Fourth Proportional to 7,254.96, 10,882.44 and 4,789.20

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Solution

The fourth proportional to 7,254.96, 10,882.44 and 4,789.20 is: 7,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.96 : 10,882.44 = 4,789.20 : x
  2. Step 2: Convert to fraction form
    7,254.96/10,882.44 = 4,789.20/x
  3. Step 3: Cross multiply
    7,254.96x = 10,882.44 × 4,789.20
  4. Step 4: Simplify right side
    7,254.96x = 52,118,163.69
  5. Step 5: Solve for x
    x = 52,118,163.69/7,254.96
  6. Step 6: Final answer
    x = 7,183.80

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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.