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Finding the Fourth Proportional to 6,842.06, 9,441.92 and 3,857.90

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Solution

The fourth proportional to 6,842.06, 9,441.92 and 3,857.90 is: 5,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.06 : 9,441.92 = 3,857.90 : x
  2. Step 2: Convert to fraction form
    6,842.06/9,441.92 = 3,857.90/x
  3. Step 3: Cross multiply
    6,842.06x = 9,441.92 × 3,857.90
  4. Step 4: Simplify right side
    6,842.06x = 36,425,983.17
  5. Step 5: Solve for x
    x = 36,425,983.17/6,842.06
  6. Step 6: Final answer
    x = 5,323.83

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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.