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Finding the Fourth Proportional to 6,834.94, 10,256.44 and 2,885.94

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Solution

The fourth proportional to 6,834.94, 10,256.44 and 2,885.94 is: 4,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.94 : 10,256.44 = 2,885.94 : x
  2. Step 2: Convert to fraction form
    6,834.94/10,256.44 = 2,885.94/x
  3. Step 3: Cross multiply
    6,834.94x = 10,256.44 × 2,885.94
  4. Step 4: Simplify right side
    6,834.94x = 29,599,443.27
  5. Step 5: Solve for x
    x = 29,599,443.27/6,834.94
  6. Step 6: Final answer
    x = 4,330.61

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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.