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Finding the Fourth Proportional to 6,650.36, 9,977.39 and 2,902.47

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Solution

The fourth proportional to 6,650.36, 9,977.39 and 2,902.47 is: 4,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.36 : 9,977.39 = 2,902.47 : x
  2. Step 2: Convert to fraction form
    6,650.36/9,977.39 = 2,902.47/x
  3. Step 3: Cross multiply
    6,650.36x = 9,977.39 × 2,902.47
  4. Step 4: Simplify right side
    6,650.36x = 28,959,075.15
  5. Step 5: Solve for x
    x = 28,959,075.15/6,650.36
  6. Step 6: Final answer
    x = 4,354.51

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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.