Home / 10,974-16,461.18-3,183.60

Finding the Fourth Proportional to 10,974, 16,461.18 and 3,183.60

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Solution

The fourth proportional to 10,974, 16,461.18 and 3,183.60 is: 4,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974 : 16,461.18 = 3,183.60 : x
  2. Step 2: Convert to fraction form
    10,974/16,461.18 = 3,183.60/x
  3. Step 3: Cross multiply
    10,974x = 16,461.18 × 3,183.60
  4. Step 4: Simplify right side
    10,974x = 52,405,812.65
  5. Step 5: Solve for x
    x = 52,405,812.65/10,974
  6. Step 6: Final answer
    x = 4,775.45

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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.