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Finding the Fourth Proportional to 6,369.80, 9,549.84 and 2,903

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Solution

The fourth proportional to 6,369.80, 9,549.84 and 2,903 is: 4,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.80 : 9,549.84 = 2,903 : x
  2. Step 2: Convert to fraction form
    6,369.80/9,549.84 = 2,903/x
  3. Step 3: Cross multiply
    6,369.80x = 9,549.84 × 2,903
  4. Step 4: Simplify right side
    6,369.80x = 27,723,185.52
  5. Step 5: Solve for x
    x = 27,723,185.52/6,369.80
  6. Step 6: Final answer
    x = 4,352.29

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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.