Home / 10,306.24-15,462.09-3,734.30

Finding the Fourth Proportional to 10,306.24, 15,462.09 and 3,734.30

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Solution

The fourth proportional to 10,306.24, 15,462.09 and 3,734.30 is: 5,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.24 : 15,462.09 = 3,734.30 : x
  2. Step 2: Convert to fraction form
    10,306.24/15,462.09 = 3,734.30/x
  3. Step 3: Cross multiply
    10,306.24x = 15,462.09 × 3,734.30
  4. Step 4: Simplify right side
    10,306.24x = 57,740,121.34
  5. Step 5: Solve for x
    x = 57,740,121.34/10,306.24
  6. Step 6: Final answer
    x = 5,602.44

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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.