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Finding the Fourth Proportional to 6,837.82, 9,435.90 and 3,854.26

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Solution

The fourth proportional to 6,837.82, 9,435.90 and 3,854.26 is: 5,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.82 : 9,435.90 = 3,854.26 : x
  2. Step 2: Convert to fraction form
    6,837.82/9,435.90 = 3,854.26/x
  3. Step 3: Cross multiply
    6,837.82x = 9,435.90 × 3,854.26
  4. Step 4: Simplify right side
    6,837.82x = 36,368,411.93
  5. Step 5: Solve for x
    x = 36,368,411.93/6,837.82
  6. Step 6: Final answer
    x = 5,318.71

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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.