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Finding the Fourth Proportional to 6,102.48, 9,166 and 5,930.22

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Solution

The fourth proportional to 6,102.48, 9,166 and 5,930.22 is: 8,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.48 : 9,166 = 5,930.22 : x
  2. Step 2: Convert to fraction form
    6,102.48/9,166 = 5,930.22/x
  3. Step 3: Cross multiply
    6,102.48x = 9,166 × 5,930.22
  4. Step 4: Simplify right side
    6,102.48x = 54,356,396.52
  5. Step 5: Solve for x
    x = 54,356,396.52/6,102.48
  6. Step 6: Final answer
    x = 8,907.26

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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.