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Finding the Fourth Proportional to 6,533.07, 9,797.85 and 2,834.43

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Solution

The fourth proportional to 6,533.07, 9,797.85 and 2,834.43 is: 4,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.07 : 9,797.85 = 2,834.43 : x
  2. Step 2: Convert to fraction form
    6,533.07/9,797.85 = 2,834.43/x
  3. Step 3: Cross multiply
    6,533.07x = 9,797.85 × 2,834.43
  4. Step 4: Simplify right side
    6,533.07x = 27,771,338.35
  5. Step 5: Solve for x
    x = 27,771,338.35/6,533.07
  6. Step 6: Final answer
    x = 4,250.89

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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.