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Finding the Fourth Proportional to 8,194.86, 12,285.51 and 3,194.76

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Solution

The fourth proportional to 8,194.86, 12,285.51 and 3,194.76 is: 4,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.86 : 12,285.51 = 3,194.76 : x
  2. Step 2: Convert to fraction form
    8,194.86/12,285.51 = 3,194.76/x
  3. Step 3: Cross multiply
    8,194.86x = 12,285.51 × 3,194.76
  4. Step 4: Simplify right side
    8,194.86x = 39,249,255.93
  5. Step 5: Solve for x
    x = 39,249,255.93/8,194.86
  6. Step 6: Final answer
    x = 4,789.50

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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.