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Finding the Fourth Proportional to 6,163.16, 9,246.29 and 1,780.58

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Solution

The fourth proportional to 6,163.16, 9,246.29 and 1,780.58 is: 2,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.16 : 9,246.29 = 1,780.58 : x
  2. Step 2: Convert to fraction form
    6,163.16/9,246.29 = 1,780.58/x
  3. Step 3: Cross multiply
    6,163.16x = 9,246.29 × 1,780.58
  4. Step 4: Simplify right side
    6,163.16x = 16,463,773.26
  5. Step 5: Solve for x
    x = 16,463,773.26/6,163.16
  6. Step 6: Final answer
    x = 2,671.32

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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.