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Finding the Fourth Proportional to 6,586.33, 9,090.73 and 5,522.39

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Solution

The fourth proportional to 6,586.33, 9,090.73 and 5,522.39 is: 7,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.33 : 9,090.73 = 5,522.39 : x
  2. Step 2: Convert to fraction form
    6,586.33/9,090.73 = 5,522.39/x
  3. Step 3: Cross multiply
    6,586.33x = 9,090.73 × 5,522.39
  4. Step 4: Simplify right side
    6,586.33x = 50,202,603.12
  5. Step 5: Solve for x
    x = 50,202,603.12/6,586.33
  6. Step 6: Final answer
    x = 7,622.24

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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.