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Finding the Fourth Proportional to 6,833.81, 9,431.21 and 3,849.47

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Solution

The fourth proportional to 6,833.81, 9,431.21 and 3,849.47 is: 5,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.81 : 9,431.21 = 3,849.47 : x
  2. Step 2: Convert to fraction form
    6,833.81/9,431.21 = 3,849.47/x
  3. Step 3: Cross multiply
    6,833.81x = 9,431.21 × 3,849.47
  4. Step 4: Simplify right side
    6,833.81x = 36,305,093.56
  5. Step 5: Solve for x
    x = 36,305,093.56/6,833.81
  6. Step 6: Final answer
    x = 5,312.57

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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.