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Finding the Fourth Proportional to 6,843.83, 9,444.53 and 3,777.77

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Solution

The fourth proportional to 6,843.83, 9,444.53 and 3,777.77 is: 5,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.83 : 9,444.53 = 3,777.77 : x
  2. Step 2: Convert to fraction form
    6,843.83/9,444.53 = 3,777.77/x
  3. Step 3: Cross multiply
    6,843.83x = 9,444.53 × 3,777.77
  4. Step 4: Simplify right side
    6,843.83x = 35,679,295.15
  5. Step 5: Solve for x
    x = 35,679,295.15/6,843.83
  6. Step 6: Final answer
    x = 5,213.36

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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.