Home / 6,823-10,229.06-3,536.60

Finding the Fourth Proportional to 6,823, 10,229.06 and 3,536.60

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Solution

The fourth proportional to 6,823, 10,229.06 and 3,536.60 is: 5,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823 : 10,229.06 = 3,536.60 : x
  2. Step 2: Convert to fraction form
    6,823/10,229.06 = 3,536.60/x
  3. Step 3: Cross multiply
    6,823x = 10,229.06 × 3,536.60
  4. Step 4: Simplify right side
    6,823x = 36,176,093.60
  5. Step 5: Solve for x
    x = 36,176,093.60/6,823
  6. Step 6: Final answer
    x = 5,302.08

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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.