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Finding the Fourth Proportional to 6,955.20, 10,422 and 4,487.94

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Solution

The fourth proportional to 6,955.20, 10,422 and 4,487.94 is: 6,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.20 : 10,422 = 4,487.94 : x
  2. Step 2: Convert to fraction form
    6,955.20/10,422 = 4,487.94/x
  3. Step 3: Cross multiply
    6,955.20x = 10,422 × 4,487.94
  4. Step 4: Simplify right side
    6,955.20x = 46,773,310.68
  5. Step 5: Solve for x
    x = 46,773,310.68/6,955.20
  6. Step 6: Final answer
    x = 6,724.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.