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Finding the Fourth Proportional to 6,910.64, 10,366.60 and 2,294

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Solution

The fourth proportional to 6,910.64, 10,366.60 and 2,294 is: 3,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.64 : 10,366.60 = 2,294 : x
  2. Step 2: Convert to fraction form
    6,910.64/10,366.60 = 2,294/x
  3. Step 3: Cross multiply
    6,910.64x = 10,366.60 × 2,294
  4. Step 4: Simplify right side
    6,910.64x = 23,780,980.40
  5. Step 5: Solve for x
    x = 23,780,980.40/6,910.64
  6. Step 6: Final answer
    x = 3,441.21

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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.