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Finding the Fourth Proportional to 11,297, 16,945.50 and 3,089

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Solution

The fourth proportional to 11,297, 16,945.50 and 3,089 is: 4,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297 : 16,945.50 = 3,089 : x
  2. Step 2: Convert to fraction form
    11,297/16,945.50 = 3,089/x
  3. Step 3: Cross multiply
    11,297x = 16,945.50 × 3,089
  4. Step 4: Simplify right side
    11,297x = 52,344,649.50
  5. Step 5: Solve for x
    x = 52,344,649.50/11,297
  6. Step 6: Final answer
    x = 4,633.50

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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.