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Finding the Fourth Proportional to 11,058, 16,581.56 and 3,266

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Solution

The fourth proportional to 11,058, 16,581.56 and 3,266 is: 4,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,058 : 16,581.56 = 3,266 : x
  2. Step 2: Convert to fraction form
    11,058/16,581.56 = 3,266/x
  3. Step 3: Cross multiply
    11,058x = 16,581.56 × 3,266
  4. Step 4: Simplify right side
    11,058x = 54,155,374.96
  5. Step 5: Solve for x
    x = 54,155,374.96/11,058
  6. Step 6: Final answer
    x = 4,897.39

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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.