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Finding the Fourth Proportional to 6,857.35, 9,463.12 and 3,873.17

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Solution

The fourth proportional to 6,857.35, 9,463.12 and 3,873.17 is: 5,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.35 : 9,463.12 = 3,873.17 : x
  2. Step 2: Convert to fraction form
    6,857.35/9,463.12 = 3,873.17/x
  3. Step 3: Cross multiply
    6,857.35x = 9,463.12 × 3,873.17
  4. Step 4: Simplify right side
    6,857.35x = 36,652,286.47
  5. Step 5: Solve for x
    x = 36,652,286.47/6,857.35
  6. Step 6: Final answer
    x = 5,344.97

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Double scale
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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.