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Finding the Fourth Proportional to 7,773.92, 11,660.79 and 4,654.80

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Solution

The fourth proportional to 7,773.92, 11,660.79 and 4,654.80 is: 6,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.92 : 11,660.79 = 4,654.80 : x
  2. Step 2: Convert to fraction form
    7,773.92/11,660.79 = 4,654.80/x
  3. Step 3: Cross multiply
    7,773.92x = 11,660.79 × 4,654.80
  4. Step 4: Simplify right side
    7,773.92x = 54,278,586.99
  5. Step 5: Solve for x
    x = 54,278,586.99/7,773.92
  6. Step 6: Final answer
    x = 6,982.14

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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.