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Finding the Fourth Proportional to 6,846.27, 9,443.14 and 4,195

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Solution

The fourth proportional to 6,846.27, 9,443.14 and 4,195 is: 5,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.27 : 9,443.14 = 4,195 : x
  2. Step 2: Convert to fraction form
    6,846.27/9,443.14 = 4,195/x
  3. Step 3: Cross multiply
    6,846.27x = 9,443.14 × 4,195
  4. Step 4: Simplify right side
    6,846.27x = 39,613,972.30
  5. Step 5: Solve for x
    x = 39,613,972.30/6,846.27
  6. Step 6: Final answer
    x = 5,786.21

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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.