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Finding the Fourth Proportional to 8,162.42, 12,243.88 and 3,887.22

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Solution

The fourth proportional to 8,162.42, 12,243.88 and 3,887.22 is: 5,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.42 : 12,243.88 = 3,887.22 : x
  2. Step 2: Convert to fraction form
    8,162.42/12,243.88 = 3,887.22/x
  3. Step 3: Cross multiply
    8,162.42x = 12,243.88 × 3,887.22
  4. Step 4: Simplify right side
    8,162.42x = 47,594,655.21
  5. Step 5: Solve for x
    x = 47,594,655.21/8,162.42
  6. Step 6: Final answer
    x = 5,830.95

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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.