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Finding the Fourth Proportional to 12,410.70, 18,599.64 and 6,773.94

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Solution

The fourth proportional to 12,410.70, 18,599.64 and 6,773.94 is: 10,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.70 : 18,599.64 = 6,773.94 : x
  2. Step 2: Convert to fraction form
    12,410.70/18,599.64 = 6,773.94/x
  3. Step 3: Cross multiply
    12,410.70x = 18,599.64 × 6,773.94
  4. Step 4: Simplify right side
    12,410.70x = 125,992,845.38
  5. Step 5: Solve for x
    x = 125,992,845.38/12,410.70
  6. Step 6: Final answer
    x = 10,151.95

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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.