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Finding the Fourth Proportional to 6,589.43, 9,887.80 and 2,696.57

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Solution

The fourth proportional to 6,589.43, 9,887.80 and 2,696.57 is: 4,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.43 : 9,887.80 = 2,696.57 : x
  2. Step 2: Convert to fraction form
    6,589.43/9,887.80 = 2,696.57/x
  3. Step 3: Cross multiply
    6,589.43x = 9,887.80 × 2,696.57
  4. Step 4: Simplify right side
    6,589.43x = 26,663,162.82
  5. Step 5: Solve for x
    x = 26,663,162.82/6,589.43
  6. Step 6: Final answer
    x = 4,046.35

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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.