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Finding the Fourth Proportional to 6,613.94, 9,918.52 and 1,933.02

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Solution

The fourth proportional to 6,613.94, 9,918.52 and 1,933.02 is: 2,898.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.94 : 9,918.52 = 1,933.02 : x
  2. Step 2: Convert to fraction form
    6,613.94/9,918.52 = 1,933.02/x
  3. Step 3: Cross multiply
    6,613.94x = 9,918.52 × 1,933.02
  4. Step 4: Simplify right side
    6,613.94x = 19,172,692.70
  5. Step 5: Solve for x
    x = 19,172,692.70/6,613.94
  6. Step 6: Final answer
    x = 2,898.83

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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.