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Finding the Fourth Proportional to 6,907.72, 10,361.43 and 1,977.32

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Solution

The fourth proportional to 6,907.72, 10,361.43 and 1,977.32 is: 2,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.72 : 10,361.43 = 1,977.32 : x
  2. Step 2: Convert to fraction form
    6,907.72/10,361.43 = 1,977.32/x
  3. Step 3: Cross multiply
    6,907.72x = 10,361.43 × 1,977.32
  4. Step 4: Simplify right side
    6,907.72x = 20,487,862.77
  5. Step 5: Solve for x
    x = 20,487,862.77/6,907.72
  6. Step 6: Final answer
    x = 2,965.94

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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.