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Finding the Fourth Proportional to 6,194.80, 8,533.04 and 5,786.56

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Solution

The fourth proportional to 6,194.80, 8,533.04 and 5,786.56 is: 7,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.80 : 8,533.04 = 5,786.56 : x
  2. Step 2: Convert to fraction form
    6,194.80/8,533.04 = 5,786.56/x
  3. Step 3: Cross multiply
    6,194.80x = 8,533.04 × 5,786.56
  4. Step 4: Simplify right side
    6,194.80x = 49,376,947.94
  5. Step 5: Solve for x
    x = 49,376,947.94/6,194.80
  6. Step 6: Final answer
    x = 7,970.71

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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.