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Finding the Fourth Proportional to 8,189.71, 12,286.69 and 2,346.77

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Solution

The fourth proportional to 8,189.71, 12,286.69 and 2,346.77 is: 3,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.71 : 12,286.69 = 2,346.77 : x
  2. Step 2: Convert to fraction form
    8,189.71/12,286.69 = 2,346.77/x
  3. Step 3: Cross multiply
    8,189.71x = 12,286.69 × 2,346.77
  4. Step 4: Simplify right side
    8,189.71x = 28,834,060.34
  5. Step 5: Solve for x
    x = 28,834,060.34/8,189.71
  6. Step 6: Final answer
    x = 3,520.77

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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.