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Finding the Fourth Proportional to 6,944, 10,416 and 2,080

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Solution

The fourth proportional to 6,944, 10,416 and 2,080 is: 3,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944 : 10,416 = 2,080 : x
  2. Step 2: Convert to fraction form
    6,944/10,416 = 2,080/x
  3. Step 3: Cross multiply
    6,944x = 10,416 × 2,080
  4. Step 4: Simplify right side
    6,944x = 21,665,280
  5. Step 5: Solve for x
    x = 21,665,280/6,944
  6. Step 6: Final answer
    x = 3,120

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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.