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Finding the Fourth Proportional to 6,517.04, 9,776.44 and 1,900

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Solution

The fourth proportional to 6,517.04, 9,776.44 and 1,900 is: 2,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.04 : 9,776.44 = 1,900 : x
  2. Step 2: Convert to fraction form
    6,517.04/9,776.44 = 1,900/x
  3. Step 3: Cross multiply
    6,517.04x = 9,776.44 × 1,900
  4. Step 4: Simplify right side
    6,517.04x = 18,575,236
  5. Step 5: Solve for x
    x = 18,575,236/6,517.04
  6. Step 6: Final answer
    x = 2,850.26

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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.