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Finding the Fourth Proportional to 6,834.73, 10,251.07 and 1,903.86

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Solution

The fourth proportional to 6,834.73, 10,251.07 and 1,903.86 is: 2,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.73 : 10,251.07 = 1,903.86 : x
  2. Step 2: Convert to fraction form
    6,834.73/10,251.07 = 1,903.86/x
  3. Step 3: Cross multiply
    6,834.73x = 10,251.07 × 1,903.86
  4. Step 4: Simplify right side
    6,834.73x = 19,516,602.13
  5. Step 5: Solve for x
    x = 19,516,602.13/6,834.73
  6. Step 6: Final answer
    x = 2,855.50

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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.