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Finding the Fourth Proportional to 6,832.15, 10,246.77 and 1,900.46

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Solution

The fourth proportional to 6,832.15, 10,246.77 and 1,900.46 is: 2,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.15 : 10,246.77 = 1,900.46 : x
  2. Step 2: Convert to fraction form
    6,832.15/10,246.77 = 1,900.46/x
  3. Step 3: Cross multiply
    6,832.15x = 10,246.77 × 1,900.46
  4. Step 4: Simplify right side
    6,832.15x = 19,473,602.13
  5. Step 5: Solve for x
    x = 19,473,602.13/6,832.15
  6. Step 6: Final answer
    x = 2,850.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.