Home / 10,822.20-16,232.76-6,918

Finding the Fourth Proportional to 10,822.20, 16,232.76 and 6,918

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Solution

The fourth proportional to 10,822.20, 16,232.76 and 6,918 is: 10,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.20 : 16,232.76 = 6,918 : x
  2. Step 2: Convert to fraction form
    10,822.20/16,232.76 = 6,918/x
  3. Step 3: Cross multiply
    10,822.20x = 16,232.76 × 6,918
  4. Step 4: Simplify right side
    10,822.20x = 112,298,233.68
  5. Step 5: Solve for x
    x = 112,298,233.68/10,822.20
  6. Step 6: Final answer
    x = 10,376.65

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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.