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Finding the Fourth Proportional to 6,409.61, 9,608.55 and 2,709.83

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Solution

The fourth proportional to 6,409.61, 9,608.55 and 2,709.83 is: 4,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.61 : 9,608.55 = 2,709.83 : x
  2. Step 2: Convert to fraction form
    6,409.61/9,608.55 = 2,709.83/x
  3. Step 3: Cross multiply
    6,409.61x = 9,608.55 × 2,709.83
  4. Step 4: Simplify right side
    6,409.61x = 26,037,537.05
  5. Step 5: Solve for x
    x = 26,037,537.05/6,409.61
  6. Step 6: Final answer
    x = 4,062.27

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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.