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Finding the Fourth Proportional to 6,843.41, 9,443.75 and 3,859.16

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Solution

The fourth proportional to 6,843.41, 9,443.75 and 3,859.16 is: 5,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.41 : 9,443.75 = 3,859.16 : x
  2. Step 2: Convert to fraction form
    6,843.41/9,443.75 = 3,859.16/x
  3. Step 3: Cross multiply
    6,843.41x = 9,443.75 × 3,859.16
  4. Step 4: Simplify right side
    6,843.41x = 36,444,946.56
  5. Step 5: Solve for x
    x = 36,444,946.56/6,843.41
  6. Step 6: Final answer
    x = 5,325.56

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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.