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Finding the Fourth Proportional to 8,383.44, 11,573.16 and 5,662.80

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Solution

The fourth proportional to 8,383.44, 11,573.16 and 5,662.80 is: 7,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.44 : 11,573.16 = 5,662.80 : x
  2. Step 2: Convert to fraction form
    8,383.44/11,573.16 = 5,662.80/x
  3. Step 3: Cross multiply
    8,383.44x = 11,573.16 × 5,662.80
  4. Step 4: Simplify right side
    8,383.44x = 65,536,490.45
  5. Step 5: Solve for x
    x = 65,536,490.45/8,383.44
  6. Step 6: Final answer
    x = 7,817.37

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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.