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Finding the Fourth Proportional to 6,026.31, 9,023.74 and 4,849.88

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Solution

The fourth proportional to 6,026.31, 9,023.74 and 4,849.88 is: 7,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.31 : 9,023.74 = 4,849.88 : x
  2. Step 2: Convert to fraction form
    6,026.31/9,023.74 = 4,849.88/x
  3. Step 3: Cross multiply
    6,026.31x = 9,023.74 × 4,849.88
  4. Step 4: Simplify right side
    6,026.31x = 43,764,031.90
  5. Step 5: Solve for x
    x = 43,764,031.90/6,026.31
  6. Step 6: Final answer
    x = 7,262.17

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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.