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Finding the Fourth Proportional to 6,133.67, 9,194.97 and 2,435.06

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Solution

The fourth proportional to 6,133.67, 9,194.97 and 2,435.06 is: 3,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.67 : 9,194.97 = 2,435.06 : x
  2. Step 2: Convert to fraction form
    6,133.67/9,194.97 = 2,435.06/x
  3. Step 3: Cross multiply
    6,133.67x = 9,194.97 × 2,435.06
  4. Step 4: Simplify right side
    6,133.67x = 22,390,322.07
  5. Step 5: Solve for x
    x = 22,390,322.07/6,133.67
  6. Step 6: Final answer
    x = 3,650.39

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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.