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Finding the Fourth Proportional to 8,151.64, 12,204.16 and 5,369.83

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Solution

The fourth proportional to 8,151.64, 12,204.16 and 5,369.83 is: 8,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.64 : 12,204.16 = 5,369.83 : x
  2. Step 2: Convert to fraction form
    8,151.64/12,204.16 = 5,369.83/x
  3. Step 3: Cross multiply
    8,151.64x = 12,204.16 × 5,369.83
  4. Step 4: Simplify right side
    8,151.64x = 65,534,220.56
  5. Step 5: Solve for x
    x = 65,534,220.56/8,151.64
  6. Step 6: Final answer
    x = 8,039.39

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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.