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Finding the Fourth Proportional to 6,688.26, 9,218.97 and 5,089.59

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Solution

The fourth proportional to 6,688.26, 9,218.97 and 5,089.59 is: 7,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.26 : 9,218.97 = 5,089.59 : x
  2. Step 2: Convert to fraction form
    6,688.26/9,218.97 = 5,089.59/x
  3. Step 3: Cross multiply
    6,688.26x = 9,218.97 × 5,089.59
  4. Step 4: Simplify right side
    6,688.26x = 46,920,777.52
  5. Step 5: Solve for x
    x = 46,920,777.52/6,688.26
  6. Step 6: Final answer
    x = 7,015.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.