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Finding the Fourth Proportional to 6,516.63, 9,775.49 and 2,133.99

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Solution

The fourth proportional to 6,516.63, 9,775.49 and 2,133.99 is: 3,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.63 : 9,775.49 = 2,133.99 : x
  2. Step 2: Convert to fraction form
    6,516.63/9,775.49 = 2,133.99/x
  3. Step 3: Cross multiply
    6,516.63x = 9,775.49 × 2,133.99
  4. Step 4: Simplify right side
    6,516.63x = 20,860,787.24
  5. Step 5: Solve for x
    x = 20,860,787.24/6,516.63
  6. Step 6: Final answer
    x = 3,201.16

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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.