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Finding the Fourth Proportional to 37,638, 56,460.78 and 9,936

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Solution

The fourth proportional to 37,638, 56,460.78 and 9,936 is: 14,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638 : 56,460.78 = 9,936 : x
  2. Step 2: Convert to fraction form
    37,638/56,460.78 = 9,936/x
  3. Step 3: Cross multiply
    37,638x = 56,460.78 × 9,936
  4. Step 4: Simplify right side
    37,638x = 560,994,310.08
  5. Step 5: Solve for x
    x = 560,994,310.08/37,638
  6. Step 6: Final answer
    x = 14,905.00

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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.