Home / 10,298-14,211.26-6,517.22

Finding the Fourth Proportional to 10,298, 14,211.26 and 6,517.22

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Solution

The fourth proportional to 10,298, 14,211.26 and 6,517.22 is: 8,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298 : 14,211.26 = 6,517.22 : x
  2. Step 2: Convert to fraction form
    10,298/14,211.26 = 6,517.22/x
  3. Step 3: Cross multiply
    10,298x = 14,211.26 × 6,517.22
  4. Step 4: Simplify right side
    10,298x = 92,617,907.90
  5. Step 5: Solve for x
    x = 92,617,907.90/10,298
  6. Step 6: Final answer
    x = 8,993.78

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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.