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Finding the Fourth Proportional to 6,195.74, 8,551.76 and 3,836.54

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Solution

The fourth proportional to 6,195.74, 8,551.76 and 3,836.54 is: 5,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.74 : 8,551.76 = 3,836.54 : x
  2. Step 2: Convert to fraction form
    6,195.74/8,551.76 = 3,836.54/x
  3. Step 3: Cross multiply
    6,195.74x = 8,551.76 × 3,836.54
  4. Step 4: Simplify right side
    6,195.74x = 32,809,169.31
  5. Step 5: Solve for x
    x = 32,809,169.31/6,195.74
  6. Step 6: Final answer
    x = 5,295.44

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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.