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Finding the Fourth Proportional to 6,266, 9,399.15 and 2,106.06

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Solution

The fourth proportional to 6,266, 9,399.15 and 2,106.06 is: 3,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266 : 9,399.15 = 2,106.06 : x
  2. Step 2: Convert to fraction form
    6,266/9,399.15 = 2,106.06/x
  3. Step 3: Cross multiply
    6,266x = 9,399.15 × 2,106.06
  4. Step 4: Simplify right side
    6,266x = 19,795,173.85
  5. Step 5: Solve for x
    x = 19,795,173.85/6,266
  6. Step 6: Final answer
    x = 3,159.14

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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.