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Finding the Fourth Proportional to 6,854, 10,282.44 and 2,750

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Solution

The fourth proportional to 6,854, 10,282.44 and 2,750 is: 4,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854 : 10,282.44 = 2,750 : x
  2. Step 2: Convert to fraction form
    6,854/10,282.44 = 2,750/x
  3. Step 3: Cross multiply
    6,854x = 10,282.44 × 2,750
  4. Step 4: Simplify right side
    6,854x = 28,276,710
  5. Step 5: Solve for x
    x = 28,276,710/6,854
  6. Step 6: Final answer
    x = 4,125.58

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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.