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Finding the Fourth Proportional to 6,153.57, 9,230.31 and 1,536.57

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Solution

The fourth proportional to 6,153.57, 9,230.31 and 1,536.57 is: 2,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.57 : 9,230.31 = 1,536.57 : x
  2. Step 2: Convert to fraction form
    6,153.57/9,230.31 = 1,536.57/x
  3. Step 3: Cross multiply
    6,153.57x = 9,230.31 × 1,536.57
  4. Step 4: Simplify right side
    6,153.57x = 14,183,017.44
  5. Step 5: Solve for x
    x = 14,183,017.44/6,153.57
  6. Step 6: Final answer
    x = 2,304.84

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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.