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Finding the Fourth Proportional to 6,516.02, 9,773.94 and 1,585.67

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Solution

The fourth proportional to 6,516.02, 9,773.94 and 1,585.67 is: 2,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.02 : 9,773.94 = 1,585.67 : x
  2. Step 2: Convert to fraction form
    6,516.02/9,773.94 = 1,585.67/x
  3. Step 3: Cross multiply
    6,516.02x = 9,773.94 × 1,585.67
  4. Step 4: Simplify right side
    6,516.02x = 15,498,194.57
  5. Step 5: Solve for x
    x = 15,498,194.57/6,516.02
  6. Step 6: Final answer
    x = 2,378.48

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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.