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Finding the Fourth Proportional to 6,265.68, 9,399.60 and 2,106.09

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Solution

The fourth proportional to 6,265.68, 9,399.60 and 2,106.09 is: 3,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.68 : 9,399.60 = 2,106.09 : x
  2. Step 2: Convert to fraction form
    6,265.68/9,399.60 = 2,106.09/x
  3. Step 3: Cross multiply
    6,265.68x = 9,399.60 × 2,106.09
  4. Step 4: Simplify right side
    6,265.68x = 19,796,403.56
  5. Step 5: Solve for x
    x = 19,796,403.56/6,265.68
  6. Step 6: Final answer
    x = 3,159.50

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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.