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Finding the Fourth Proportional to 7,936, 10,951.68 and 4,624.64

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Solution

The fourth proportional to 7,936, 10,951.68 and 4,624.64 is: 6,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936 : 10,951.68 = 4,624.64 : x
  2. Step 2: Convert to fraction form
    7,936/10,951.68 = 4,624.64/x
  3. Step 3: Cross multiply
    7,936x = 10,951.68 × 4,624.64
  4. Step 4: Simplify right side
    7,936x = 50,647,577.40
  5. Step 5: Solve for x
    x = 50,647,577.40/7,936
  6. Step 6: Final answer
    x = 6,382.00

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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.