Home / 6,101.80-9,150-2,206.24

Finding the Fourth Proportional to 6,101.80, 9,150 and 2,206.24

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Solution

The fourth proportional to 6,101.80, 9,150 and 2,206.24 is: 3,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.80 : 9,150 = 2,206.24 : x
  2. Step 2: Convert to fraction form
    6,101.80/9,150 = 2,206.24/x
  3. Step 3: Cross multiply
    6,101.80x = 9,150 × 2,206.24
  4. Step 4: Simplify right side
    6,101.80x = 20,187,096.00
  5. Step 5: Solve for x
    x = 20,187,096.00/6,101.80
  6. Step 6: Final answer
    x = 3,308.38

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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.