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Finding the Fourth Proportional to 6,843.47, 9,443.99 and 3,699.66

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Solution

The fourth proportional to 6,843.47, 9,443.99 and 3,699.66 is: 5,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.47 : 9,443.99 = 3,699.66 : x
  2. Step 2: Convert to fraction form
    6,843.47/9,443.99 = 3,699.66/x
  3. Step 3: Cross multiply
    6,843.47x = 9,443.99 × 3,699.66
  4. Step 4: Simplify right side
    6,843.47x = 34,939,505.07
  5. Step 5: Solve for x
    x = 34,939,505.07/6,843.47
  6. Step 6: Final answer
    x = 5,105.53

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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.