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Finding the Fourth Proportional to 12,270.55, 16,933.44 and 6,965.46

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Solution

The fourth proportional to 12,270.55, 16,933.44 and 6,965.46 is: 9,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.55 : 16,933.44 = 6,965.46 : x
  2. Step 2: Convert to fraction form
    12,270.55/16,933.44 = 6,965.46/x
  3. Step 3: Cross multiply
    12,270.55x = 16,933.44 × 6,965.46
  4. Step 4: Simplify right side
    12,270.55x = 117,949,198.98
  5. Step 5: Solve for x
    x = 117,949,198.98/12,270.55
  6. Step 6: Final answer
    x = 9,612.38

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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.