Home / 10,867-14,997.21-6,151.30

Finding the Fourth Proportional to 10,867, 14,997.21 and 6,151.30

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Solution

The fourth proportional to 10,867, 14,997.21 and 6,151.30 is: 8,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867 : 14,997.21 = 6,151.30 : x
  2. Step 2: Convert to fraction form
    10,867/14,997.21 = 6,151.30/x
  3. Step 3: Cross multiply
    10,867x = 14,997.21 × 6,151.30
  4. Step 4: Simplify right side
    10,867x = 92,252,337.87
  5. Step 5: Solve for x
    x = 92,252,337.87/10,867
  6. Step 6: Final answer
    x = 8,489.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.