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Finding the Fourth Proportional to 6,735.86, 10,104.47 and 1,806

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Solution

The fourth proportional to 6,735.86, 10,104.47 and 1,806 is: 2,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.86 : 10,104.47 = 1,806 : x
  2. Step 2: Convert to fraction form
    6,735.86/10,104.47 = 1,806/x
  3. Step 3: Cross multiply
    6,735.86x = 10,104.47 × 1,806
  4. Step 4: Simplify right side
    6,735.86x = 18,248,677.34
  5. Step 5: Solve for x
    x = 18,248,677.34/6,735.86
  6. Step 6: Final answer
    x = 2,709.18

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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.