Home / 7,569-11,353.77-2,022.66

Finding the Fourth Proportional to 7,569, 11,353.77 and 2,022.66

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Solution

The fourth proportional to 7,569, 11,353.77 and 2,022.66 is: 3,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569 : 11,353.77 = 2,022.66 : x
  2. Step 2: Convert to fraction form
    7,569/11,353.77 = 2,022.66/x
  3. Step 3: Cross multiply
    7,569x = 11,353.77 × 2,022.66
  4. Step 4: Simplify right side
    7,569x = 22,964,816.43
  5. Step 5: Solve for x
    x = 22,964,816.43/7,569
  6. Step 6: Final answer
    x = 3,034.06

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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.