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Finding the Fourth Proportional to 8,142.21, 11,238.21 and 4,785.21

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Solution

The fourth proportional to 8,142.21, 11,238.21 and 4,785.21 is: 6,604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.21 : 11,238.21 = 4,785.21 : x
  2. Step 2: Convert to fraction form
    8,142.21/11,238.21 = 4,785.21/x
  3. Step 3: Cross multiply
    8,142.21x = 11,238.21 × 4,785.21
  4. Step 4: Simplify right side
    8,142.21x = 53,777,194.87
  5. Step 5: Solve for x
    x = 53,777,194.87/8,142.21
  6. Step 6: Final answer
    x = 6,604.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.