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Finding the Fourth Proportional to 8,897, 13,346.22 and 2,741

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Solution

The fourth proportional to 8,897, 13,346.22 and 2,741 is: 4,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897 : 13,346.22 = 2,741 : x
  2. Step 2: Convert to fraction form
    8,897/13,346.22 = 2,741/x
  3. Step 3: Cross multiply
    8,897x = 13,346.22 × 2,741
  4. Step 4: Simplify right side
    8,897x = 36,581,989.02
  5. Step 5: Solve for x
    x = 36,581,989.02/8,897
  6. Step 6: Final answer
    x = 4,111.72

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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.