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Finding the Fourth Proportional to 6,833.73, 10,250.19 and 1,904.07

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Solution

The fourth proportional to 6,833.73, 10,250.19 and 1,904.07 is: 2,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.73 : 10,250.19 = 1,904.07 : x
  2. Step 2: Convert to fraction form
    6,833.73/10,250.19 = 1,904.07/x
  3. Step 3: Cross multiply
    6,833.73x = 10,250.19 × 1,904.07
  4. Step 4: Simplify right side
    6,833.73x = 19,517,079.27
  5. Step 5: Solve for x
    x = 19,517,079.27/6,833.73
  6. Step 6: Final answer
    x = 2,855.99

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Why These Related Problems?

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