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Finding the Fourth Proportional to 6,857.72, 9,463.32 and 3,832.32

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Solution

The fourth proportional to 6,857.72, 9,463.32 and 3,832.32 is: 5,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.72 : 9,463.32 = 3,832.32 : x
  2. Step 2: Convert to fraction form
    6,857.72/9,463.32 = 3,832.32/x
  3. Step 3: Cross multiply
    6,857.72x = 9,463.32 × 3,832.32
  4. Step 4: Simplify right side
    6,857.72x = 36,266,470.50
  5. Step 5: Solve for x
    x = 36,266,470.50/6,857.72
  6. Step 6: Final answer
    x = 5,288.42

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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.