Home / 6,524.08-9,786.90-2,142.04

Finding the Fourth Proportional to 6,524.08, 9,786.90 and 2,142.04

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Solution

The fourth proportional to 6,524.08, 9,786.90 and 2,142.04 is: 3,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.08 : 9,786.90 = 2,142.04 : x
  2. Step 2: Convert to fraction form
    6,524.08/9,786.90 = 2,142.04/x
  3. Step 3: Cross multiply
    6,524.08x = 9,786.90 × 2,142.04
  4. Step 4: Simplify right side
    6,524.08x = 20,963,931.28
  5. Step 5: Solve for x
    x = 20,963,931.28/6,524.08
  6. Step 6: Final answer
    x = 3,213.32

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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.