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Finding the Fourth Proportional to 6,778.92, 9,354.76 and 3,946.80

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Solution

The fourth proportional to 6,778.92, 9,354.76 and 3,946.80 is: 5,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.92 : 9,354.76 = 3,946.80 : x
  2. Step 2: Convert to fraction form
    6,778.92/9,354.76 = 3,946.80/x
  3. Step 3: Cross multiply
    6,778.92x = 9,354.76 × 3,946.80
  4. Step 4: Simplify right side
    6,778.92x = 36,921,366.77
  5. Step 5: Solve for x
    x = 36,921,366.77/6,778.92
  6. Step 6: Final answer
    x = 5,446.50

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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.