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Finding the Fourth Proportional to 6,183.60, 9,275.40 and 1,566.60

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Solution

The fourth proportional to 6,183.60, 9,275.40 and 1,566.60 is: 2,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.60 : 9,275.40 = 1,566.60 : x
  2. Step 2: Convert to fraction form
    6,183.60/9,275.40 = 1,566.60/x
  3. Step 3: Cross multiply
    6,183.60x = 9,275.40 × 1,566.60
  4. Step 4: Simplify right side
    6,183.60x = 14,530,841.64
  5. Step 5: Solve for x
    x = 14,530,841.64/6,183.60
  6. Step 6: Final answer
    x = 2,349.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.