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Finding the Fourth Proportional to 9,024.98, 13,538.18 and 3,099.49

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Solution

The fourth proportional to 9,024.98, 13,538.18 and 3,099.49 is: 4,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.98 : 13,538.18 = 3,099.49 : x
  2. Step 2: Convert to fraction form
    9,024.98/13,538.18 = 3,099.49/x
  3. Step 3: Cross multiply
    9,024.98x = 13,538.18 × 3,099.49
  4. Step 4: Simplify right side
    9,024.98x = 41,961,427.43
  5. Step 5: Solve for x
    x = 41,961,427.43/9,024.98
  6. Step 6: Final answer
    x = 4,649.48

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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.