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Finding the Fourth Proportional to 6,616.56, 9,924.84 and 2,966

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Solution

The fourth proportional to 6,616.56, 9,924.84 and 2,966 is: 4,449

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.56 : 9,924.84 = 2,966 : x
  2. Step 2: Convert to fraction form
    6,616.56/9,924.84 = 2,966/x
  3. Step 3: Cross multiply
    6,616.56x = 9,924.84 × 2,966
  4. Step 4: Simplify right side
    6,616.56x = 29,437,075.44
  5. Step 5: Solve for x
    x = 29,437,075.44/6,616.56
  6. Step 6: Final answer
    x = 4,449

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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.