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Finding the Fourth Proportional to 12,770.73, 19,128.29 and 6,183

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Solution

The fourth proportional to 12,770.73, 19,128.29 and 6,183 is: 9,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.73 : 19,128.29 = 6,183 : x
  2. Step 2: Convert to fraction form
    12,770.73/19,128.29 = 6,183/x
  3. Step 3: Cross multiply
    12,770.73x = 19,128.29 × 6,183
  4. Step 4: Simplify right side
    12,770.73x = 118,270,186.16
  5. Step 5: Solve for x
    x = 118,270,186.16/12,770.73
  6. Step 6: Final answer
    x = 9,261.04

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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.