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Finding the Fourth Proportional to 11,197, 16,795.50 and 2,989

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Solution

The fourth proportional to 11,197, 16,795.50 and 2,989 is: 4,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197 : 16,795.50 = 2,989 : x
  2. Step 2: Convert to fraction form
    11,197/16,795.50 = 2,989/x
  3. Step 3: Cross multiply
    11,197x = 16,795.50 × 2,989
  4. Step 4: Simplify right side
    11,197x = 50,201,749.50
  5. Step 5: Solve for x
    x = 50,201,749.50/11,197
  6. Step 6: Final answer
    x = 4,483.50

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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.