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Finding the Fourth Proportional to 6,843.58, 9,444.14 and 3,699.77

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Solution

The fourth proportional to 6,843.58, 9,444.14 and 3,699.77 is: 5,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.58 : 9,444.14 = 3,699.77 : x
  2. Step 2: Convert to fraction form
    6,843.58/9,444.14 = 3,699.77/x
  3. Step 3: Cross multiply
    6,843.58x = 9,444.14 × 3,699.77
  4. Step 4: Simplify right side
    6,843.58x = 34,941,145.85
  5. Step 5: Solve for x
    x = 34,941,145.85/6,843.58
  6. Step 6: Final answer
    x = 5,105.68

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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.