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Finding the Fourth Proportional to 7,757.96, 11,636.96 and 2,827.59

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Solution

The fourth proportional to 7,757.96, 11,636.96 and 2,827.59 is: 4,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.96 : 11,636.96 = 2,827.59 : x
  2. Step 2: Convert to fraction form
    7,757.96/11,636.96 = 2,827.59/x
  3. Step 3: Cross multiply
    7,757.96x = 11,636.96 × 2,827.59
  4. Step 4: Simplify right side
    7,757.96x = 32,904,537.59
  5. Step 5: Solve for x
    x = 32,904,537.59/7,757.96
  6. Step 6: Final answer
    x = 4,241.39

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1.5x scale

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.