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Finding the Fourth Proportional to 6,585.58, 9,863.54 and 4,619.96

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Solution

The fourth proportional to 6,585.58, 9,863.54 and 4,619.96 is: 6,919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.58 : 9,863.54 = 4,619.96 : x
  2. Step 2: Convert to fraction form
    6,585.58/9,863.54 = 4,619.96/x
  3. Step 3: Cross multiply
    6,585.58x = 9,863.54 × 4,619.96
  4. Step 4: Simplify right side
    6,585.58x = 45,569,161.82
  5. Step 5: Solve for x
    x = 45,569,161.82/6,585.58
  6. Step 6: Final answer
    x = 6,919.54

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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.