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Finding the Fourth Proportional to 6,091.94, 8,406.92 and 3,733.63

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Solution

The fourth proportional to 6,091.94, 8,406.92 and 3,733.63 is: 5,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.94 : 8,406.92 = 3,733.63 : x
  2. Step 2: Convert to fraction form
    6,091.94/8,406.92 = 3,733.63/x
  3. Step 3: Cross multiply
    6,091.94x = 8,406.92 × 3,733.63
  4. Step 4: Simplify right side
    6,091.94x = 31,388,317.04
  5. Step 5: Solve for x
    x = 31,388,317.04/6,091.94
  6. Step 6: Final answer
    x = 5,152.43

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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.