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Finding the Fourth Proportional to 12,094.50, 18,151.50 and 6,252.78

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Solution

The fourth proportional to 12,094.50, 18,151.50 and 6,252.78 is: 9,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.50 : 18,151.50 = 6,252.78 : x
  2. Step 2: Convert to fraction form
    12,094.50/18,151.50 = 6,252.78/x
  3. Step 3: Cross multiply
    12,094.50x = 18,151.50 × 6,252.78
  4. Step 4: Simplify right side
    12,094.50x = 113,497,336.17
  5. Step 5: Solve for x
    x = 113,497,336.17/12,094.50
  6. Step 6: Final answer
    x = 9,384.21

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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.