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Finding the Fourth Proportional to 6,814.96, 10,222.64 and 1,884.64

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Solution

The fourth proportional to 6,814.96, 10,222.64 and 1,884.64 is: 2,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.96 : 10,222.64 = 1,884.64 : x
  2. Step 2: Convert to fraction form
    6,814.96/10,222.64 = 1,884.64/x
  3. Step 3: Cross multiply
    6,814.96x = 10,222.64 × 1,884.64
  4. Step 4: Simplify right side
    6,814.96x = 19,265,996.25
  5. Step 5: Solve for x
    x = 19,265,996.25/6,814.96
  6. Step 6: Final answer
    x = 2,827.02

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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.