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Finding the Fourth Proportional to 6,843.96, 9,444.24 and 4,190.85

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Solution

The fourth proportional to 6,843.96, 9,444.24 and 4,190.85 is: 5,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.96 : 9,444.24 = 4,190.85 : x
  2. Step 2: Convert to fraction form
    6,843.96/9,444.24 = 4,190.85/x
  3. Step 3: Cross multiply
    6,843.96x = 9,444.24 × 4,190.85
  4. Step 4: Simplify right side
    6,843.96x = 39,579,393.20
  5. Step 5: Solve for x
    x = 39,579,393.20/6,843.96
  6. Step 6: Final answer
    x = 5,783.11

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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.