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Finding the Fourth Proportional to 6,151.50, 9,227.25 and 1,994.99

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Solution

The fourth proportional to 6,151.50, 9,227.25 and 1,994.99 is: 2,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.50 : 9,227.25 = 1,994.99 : x
  2. Step 2: Convert to fraction form
    6,151.50/9,227.25 = 1,994.99/x
  3. Step 3: Cross multiply
    6,151.50x = 9,227.25 × 1,994.99
  4. Step 4: Simplify right side
    6,151.50x = 18,408,225.34
  5. Step 5: Solve for x
    x = 18,408,225.34/6,151.50
  6. Step 6: Final answer
    x = 2,992.48

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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.