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Finding the Fourth Proportional to 8,198.60, 11,300.09 and 5,504.94

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Solution

The fourth proportional to 8,198.60, 11,300.09 and 5,504.94 is: 7,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.60 : 11,300.09 = 5,504.94 : x
  2. Step 2: Convert to fraction form
    8,198.60/11,300.09 = 5,504.94/x
  3. Step 3: Cross multiply
    8,198.60x = 11,300.09 × 5,504.94
  4. Step 4: Simplify right side
    8,198.60x = 62,206,289.92
  5. Step 5: Solve for x
    x = 62,206,289.92/8,198.60
  6. Step 6: Final answer
    x = 7,587.43

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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.