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Finding the Fourth Proportional to 8,446.16, 11,654.70 and 4,908.80

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Solution

The fourth proportional to 8,446.16, 11,654.70 and 4,908.80 is: 6,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.16 : 11,654.70 = 4,908.80 : x
  2. Step 2: Convert to fraction form
    8,446.16/11,654.70 = 4,908.80/x
  3. Step 3: Cross multiply
    8,446.16x = 11,654.70 × 4,908.80
  4. Step 4: Simplify right side
    8,446.16x = 57,210,591.36
  5. Step 5: Solve for x
    x = 57,210,591.36/8,446.16
  6. Step 6: Final answer
    x = 6,773.56

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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.