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Finding the Fourth Proportional to 6,026.37, 9,023.83 and 4,849.94

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Solution

The fourth proportional to 6,026.37, 9,023.83 and 4,849.94 is: 7,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.37 : 9,023.83 = 4,849.94 : x
  2. Step 2: Convert to fraction form
    6,026.37/9,023.83 = 4,849.94/x
  3. Step 3: Cross multiply
    6,026.37x = 9,023.83 × 4,849.94
  4. Step 4: Simplify right side
    6,026.37x = 43,765,044.50
  5. Step 5: Solve for x
    x = 43,765,044.50/6,026.37
  6. Step 6: Final answer
    x = 7,262.26

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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.