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Finding the Fourth Proportional to 6,982.98, 10,461.47 and 3,468.98

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Solution

The fourth proportional to 6,982.98, 10,461.47 and 3,468.98 is: 5,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.98 : 10,461.47 = 3,468.98 : x
  2. Step 2: Convert to fraction form
    6,982.98/10,461.47 = 3,468.98/x
  3. Step 3: Cross multiply
    6,982.98x = 10,461.47 × 3,468.98
  4. Step 4: Simplify right side
    6,982.98x = 36,290,560.55
  5. Step 5: Solve for x
    x = 36,290,560.55/6,982.98
  6. Step 6: Final answer
    x = 5,197.00

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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.