Home / 10,467.24-15,704.72-9,849

Finding the Fourth Proportional to 10,467.24, 15,704.72 and 9,849

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Solution

The fourth proportional to 10,467.24, 15,704.72 and 9,849 is: 14,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.24 : 15,704.72 = 9,849 : x
  2. Step 2: Convert to fraction form
    10,467.24/15,704.72 = 9,849/x
  3. Step 3: Cross multiply
    10,467.24x = 15,704.72 × 9,849
  4. Step 4: Simplify right side
    10,467.24x = 154,675,787.28
  5. Step 5: Solve for x
    x = 154,675,787.28/10,467.24
  6. Step 6: Final answer
    x = 14,777.13

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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.