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Finding the Fourth Proportional to 6,516.26, 9,787.93 and 5,268.26

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Solution

The fourth proportional to 6,516.26, 9,787.93 and 5,268.26 is: 7,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.26 : 9,787.93 = 5,268.26 : x
  2. Step 2: Convert to fraction form
    6,516.26/9,787.93 = 5,268.26/x
  3. Step 3: Cross multiply
    6,516.26x = 9,787.93 × 5,268.26
  4. Step 4: Simplify right side
    6,516.26x = 51,565,371.40
  5. Step 5: Solve for x
    x = 51,565,371.40/6,516.26
  6. Step 6: Final answer
    x = 7,913.34

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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.