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Finding the Fourth Proportional to 6,183.75, 9,275.64 and 1,566.75

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Solution

The fourth proportional to 6,183.75, 9,275.64 and 1,566.75 is: 2,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.75 : 9,275.64 = 1,566.75 : x
  2. Step 2: Convert to fraction form
    6,183.75/9,275.64 = 1,566.75/x
  3. Step 3: Cross multiply
    6,183.75x = 9,275.64 × 1,566.75
  4. Step 4: Simplify right side
    6,183.75x = 14,532,608.97
  5. Step 5: Solve for x
    x = 14,532,608.97/6,183.75
  6. Step 6: Final answer
    x = 2,350.13

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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.