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Finding the Fourth Proportional to 6,272, 9,412.33 and 2,168

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Solution

The fourth proportional to 6,272, 9,412.33 and 2,168 is: 3,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272 : 9,412.33 = 2,168 : x
  2. Step 2: Convert to fraction form
    6,272/9,412.33 = 2,168/x
  3. Step 3: Cross multiply
    6,272x = 9,412.33 × 2,168
  4. Step 4: Simplify right side
    6,272x = 20,405,931.44
  5. Step 5: Solve for x
    x = 20,405,931.44/6,272
  6. Step 6: Final answer
    x = 3,253.50

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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.