Home / 10,423.26-15,638.49-6,523.02

Finding the Fourth Proportional to 10,423.26, 15,638.49 and 6,523.02

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Solution

The fourth proportional to 10,423.26, 15,638.49 and 6,523.02 is: 9,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.26 : 15,638.49 = 6,523.02 : x
  2. Step 2: Convert to fraction form
    10,423.26/15,638.49 = 6,523.02/x
  3. Step 3: Cross multiply
    10,423.26x = 15,638.49 × 6,523.02
  4. Step 4: Simplify right side
    10,423.26x = 102,010,183.04
  5. Step 5: Solve for x
    x = 102,010,183.04/10,423.26
  6. Step 6: Final answer
    x = 9,786.78

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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.