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Finding the Fourth Proportional to 6,190.98, 8,537.85 and 5,743.86

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Solution

The fourth proportional to 6,190.98, 8,537.85 and 5,743.86 is: 7,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.98 : 8,537.85 = 5,743.86 : x
  2. Step 2: Convert to fraction form
    6,190.98/8,537.85 = 5,743.86/x
  3. Step 3: Cross multiply
    6,190.98x = 8,537.85 × 5,743.86
  4. Step 4: Simplify right side
    6,190.98x = 49,040,215.10
  5. Step 5: Solve for x
    x = 49,040,215.10/6,190.98
  6. Step 6: Final answer
    x = 7,921.24

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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.