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Finding the Fourth Proportional to 6,197.03, 8,548 and 3,677.35

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Solution

The fourth proportional to 6,197.03, 8,548 and 3,677.35 is: 5,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.03 : 8,548 = 3,677.35 : x
  2. Step 2: Convert to fraction form
    6,197.03/8,548 = 3,677.35/x
  3. Step 3: Cross multiply
    6,197.03x = 8,548 × 3,677.35
  4. Step 4: Simplify right side
    6,197.03x = 31,433,987.80
  5. Step 5: Solve for x
    x = 31,433,987.80/6,197.03
  6. Step 6: Final answer
    x = 5,072.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.