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Finding the Fourth Proportional to 6,920, 10,380 and 2,056

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Solution

The fourth proportional to 6,920, 10,380 and 2,056 is: 3,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920 : 10,380 = 2,056 : x
  2. Step 2: Convert to fraction form
    6,920/10,380 = 2,056/x
  3. Step 3: Cross multiply
    6,920x = 10,380 × 2,056
  4. Step 4: Simplify right side
    6,920x = 21,341,280
  5. Step 5: Solve for x
    x = 21,341,280/6,920
  6. Step 6: Final answer
    x = 3,084

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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.