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Finding the Fourth Proportional to 6,153, 9,229.50 and 2,049

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Solution

The fourth proportional to 6,153, 9,229.50 and 2,049 is: 3,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153 : 9,229.50 = 2,049 : x
  2. Step 2: Convert to fraction form
    6,153/9,229.50 = 2,049/x
  3. Step 3: Cross multiply
    6,153x = 9,229.50 × 2,049
  4. Step 4: Simplify right side
    6,153x = 18,911,245.50
  5. Step 5: Solve for x
    x = 18,911,245.50/6,153
  6. Step 6: Final answer
    x = 3,073.50

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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.