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Finding the Fourth Proportional to 6,536.52, 9,797.49 and 2,841.84

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Solution

The fourth proportional to 6,536.52, 9,797.49 and 2,841.84 is: 4,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.52 : 9,797.49 = 2,841.84 : x
  2. Step 2: Convert to fraction form
    6,536.52/9,797.49 = 2,841.84/x
  3. Step 3: Cross multiply
    6,536.52x = 9,797.49 × 2,841.84
  4. Step 4: Simplify right side
    6,536.52x = 27,842,898.98
  5. Step 5: Solve for x
    x = 27,842,898.98/6,536.52
  6. Step 6: Final answer
    x = 4,259.59

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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.