Home / 7,722.97-11,583-3,770.26

Finding the Fourth Proportional to 7,722.97, 11,583 and 3,770.26

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Solution

The fourth proportional to 7,722.97, 11,583 and 3,770.26 is: 5,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.97 : 11,583 = 3,770.26 : x
  2. Step 2: Convert to fraction form
    7,722.97/11,583 = 3,770.26/x
  3. Step 3: Cross multiply
    7,722.97x = 11,583 × 3,770.26
  4. Step 4: Simplify right side
    7,722.97x = 43,670,921.58
  5. Step 5: Solve for x
    x = 43,670,921.58/7,722.97
  6. Step 6: Final answer
    x = 5,654.68

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1.5x scale

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.