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Finding the Fourth Proportional to 6,830.46, 10,245.65 and 1,900.13

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Solution

The fourth proportional to 6,830.46, 10,245.65 and 1,900.13 is: 2,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.46 : 10,245.65 = 1,900.13 : x
  2. Step 2: Convert to fraction form
    6,830.46/10,245.65 = 1,900.13/x
  3. Step 3: Cross multiply
    6,830.46x = 10,245.65 × 1,900.13
  4. Step 4: Simplify right side
    6,830.46x = 19,468,006.21
  5. Step 5: Solve for x
    x = 19,468,006.21/6,830.46
  6. Step 6: Final answer
    x = 2,850.17

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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.