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Finding the Fourth Proportional to 6,697.12, 10,046.84 and 2,254.36

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Solution

The fourth proportional to 6,697.12, 10,046.84 and 2,254.36 is: 3,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.12 : 10,046.84 = 2,254.36 : x
  2. Step 2: Convert to fraction form
    6,697.12/10,046.84 = 2,254.36/x
  3. Step 3: Cross multiply
    6,697.12x = 10,046.84 × 2,254.36
  4. Step 4: Simplify right side
    6,697.12x = 22,649,194.22
  5. Step 5: Solve for x
    x = 22,649,194.22/6,697.12
  6. Step 6: Final answer
    x = 3,381.93

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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.