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Finding the Fourth Proportional to 6,907.73, 10,362.20 and 1,977.26

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Solution

The fourth proportional to 6,907.73, 10,362.20 and 1,977.26 is: 2,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.73 : 10,362.20 = 1,977.26 : x
  2. Step 2: Convert to fraction form
    6,907.73/10,362.20 = 1,977.26/x
  3. Step 3: Cross multiply
    6,907.73x = 10,362.20 × 1,977.26
  4. Step 4: Simplify right side
    6,907.73x = 20,488,701.87
  5. Step 5: Solve for x
    x = 20,488,701.87/6,907.73
  6. Step 6: Final answer
    x = 2,966.06

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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.