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Finding the Fourth Proportional to 8,536.96, 12,800.36 and 4,150

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Solution

The fourth proportional to 8,536.96, 12,800.36 and 4,150 is: 6,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.96 : 12,800.36 = 4,150 : x
  2. Step 2: Convert to fraction form
    8,536.96/12,800.36 = 4,150/x
  3. Step 3: Cross multiply
    8,536.96x = 12,800.36 × 4,150
  4. Step 4: Simplify right side
    8,536.96x = 53,121,494
  5. Step 5: Solve for x
    x = 53,121,494/8,536.96
  6. Step 6: Final answer
    x = 6,222.53

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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.