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Finding the Fourth Proportional to 6,677.73, 10,016.90 and 4,048.01

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Solution

The fourth proportional to 6,677.73, 10,016.90 and 4,048.01 is: 6,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.73 : 10,016.90 = 4,048.01 : x
  2. Step 2: Convert to fraction form
    6,677.73/10,016.90 = 4,048.01/x
  3. Step 3: Cross multiply
    6,677.73x = 10,016.90 × 4,048.01
  4. Step 4: Simplify right side
    6,677.73x = 40,548,511.37
  5. Step 5: Solve for x
    x = 40,548,511.37/6,677.73
  6. Step 6: Final answer
    x = 6,072.20

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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.