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Finding the Fourth Proportional to 6,814.80, 10,222.74 and 1,884.06

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Solution

The fourth proportional to 6,814.80, 10,222.74 and 1,884.06 is: 2,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.80 : 10,222.74 = 1,884.06 : x
  2. Step 2: Convert to fraction form
    6,814.80/10,222.74 = 1,884.06/x
  3. Step 3: Cross multiply
    6,814.80x = 10,222.74 × 1,884.06
  4. Step 4: Simplify right side
    6,814.80x = 19,260,255.52
  5. Step 5: Solve for x
    x = 19,260,255.52/6,814.80
  6. Step 6: Final answer
    x = 2,826.24

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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.