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Finding the Fourth Proportional to 6,646, 9,969.72 and 2,542

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Solution

The fourth proportional to 6,646, 9,969.72 and 2,542 is: 3,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646 : 9,969.72 = 2,542 : x
  2. Step 2: Convert to fraction form
    6,646/9,969.72 = 2,542/x
  3. Step 3: Cross multiply
    6,646x = 9,969.72 × 2,542
  4. Step 4: Simplify right side
    6,646x = 25,343,028.24
  5. Step 5: Solve for x
    x = 25,343,028.24/6,646
  6. Step 6: Final answer
    x = 3,813.28

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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.