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Finding the Fourth Proportional to 7,714, 11,572.96 and 2,242

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Solution

The fourth proportional to 7,714, 11,572.96 and 2,242 is: 3,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714 : 11,572.96 = 2,242 : x
  2. Step 2: Convert to fraction form
    7,714/11,572.96 = 2,242/x
  3. Step 3: Cross multiply
    7,714x = 11,572.96 × 2,242
  4. Step 4: Simplify right side
    7,714x = 25,946,576.32
  5. Step 5: Solve for x
    x = 25,946,576.32/7,714
  6. Step 6: Final answer
    x = 3,363.57

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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.