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Finding the Fourth Proportional to 6,776.60, 10,165.82 and 2,097

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Solution

The fourth proportional to 6,776.60, 10,165.82 and 2,097 is: 3,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.60 : 10,165.82 = 2,097 : x
  2. Step 2: Convert to fraction form
    6,776.60/10,165.82 = 2,097/x
  3. Step 3: Cross multiply
    6,776.60x = 10,165.82 × 2,097
  4. Step 4: Simplify right side
    6,776.60x = 21,317,714.06
  5. Step 5: Solve for x
    x = 21,317,714.06/6,776.60
  6. Step 6: Final answer
    x = 3,145.79

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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.