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Finding the Fourth Proportional to 6,431.58, 9,648.57 and 2,050.14

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Solution

The fourth proportional to 6,431.58, 9,648.57 and 2,050.14 is: 3,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.58 : 9,648.57 = 2,050.14 : x
  2. Step 2: Convert to fraction form
    6,431.58/9,648.57 = 2,050.14/x
  3. Step 3: Cross multiply
    6,431.58x = 9,648.57 × 2,050.14
  4. Step 4: Simplify right side
    6,431.58x = 19,780,919.30
  5. Step 5: Solve for x
    x = 19,780,919.30/6,431.58
  6. Step 6: Final answer
    x = 3,075.59

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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.