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Finding the Fourth Proportional to 7,091.86, 10,638.50 and 2,713

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Solution

The fourth proportional to 7,091.86, 10,638.50 and 2,713 is: 4,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.86 : 10,638.50 = 2,713 : x
  2. Step 2: Convert to fraction form
    7,091.86/10,638.50 = 2,713/x
  3. Step 3: Cross multiply
    7,091.86x = 10,638.50 × 2,713
  4. Step 4: Simplify right side
    7,091.86x = 28,862,236.94
  5. Step 5: Solve for x
    x = 28,862,236.94/7,091.86
  6. Step 6: Final answer
    x = 4,069.77

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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.