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Finding the Fourth Proportional to 6,447.54, 9,671.40 and 1,830.54

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Solution

The fourth proportional to 6,447.54, 9,671.40 and 1,830.54 is: 2,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.54 : 9,671.40 = 1,830.54 : x
  2. Step 2: Convert to fraction form
    6,447.54/9,671.40 = 1,830.54/x
  3. Step 3: Cross multiply
    6,447.54x = 9,671.40 × 1,830.54
  4. Step 4: Simplify right side
    6,447.54x = 17,703,884.56
  5. Step 5: Solve for x
    x = 17,703,884.56/6,447.54
  6. Step 6: Final answer
    x = 2,745.84

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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.