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Finding the Fourth Proportional to 6,594.26, 9,891.32 and 1,977.26

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Solution

The fourth proportional to 6,594.26, 9,891.32 and 1,977.26 is: 2,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.26 : 9,891.32 = 1,977.26 : x
  2. Step 2: Convert to fraction form
    6,594.26/9,891.32 = 1,977.26/x
  3. Step 3: Cross multiply
    6,594.26x = 9,891.32 × 1,977.26
  4. Step 4: Simplify right side
    6,594.26x = 19,557,652.04
  5. Step 5: Solve for x
    x = 19,557,652.04/6,594.26
  6. Step 6: Final answer
    x = 2,965.86

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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.