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Finding the Fourth Proportional to 6,809.32, 10,214.60 and 2,649.64

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Solution

The fourth proportional to 6,809.32, 10,214.60 and 2,649.64 is: 3,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.32 : 10,214.60 = 2,649.64 : x
  2. Step 2: Convert to fraction form
    6,809.32/10,214.60 = 2,649.64/x
  3. Step 3: Cross multiply
    6,809.32x = 10,214.60 × 2,649.64
  4. Step 4: Simplify right side
    6,809.32x = 27,065,012.74
  5. Step 5: Solve for x
    x = 27,065,012.74/6,809.32
  6. Step 6: Final answer
    x = 3,974.70

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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.