Home / 6,482-9,724.74-2,589.14

Finding the Fourth Proportional to 6,482, 9,724.74 and 2,589.14

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Solution

The fourth proportional to 6,482, 9,724.74 and 2,589.14 is: 3,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482 : 9,724.74 = 2,589.14 : x
  2. Step 2: Convert to fraction form
    6,482/9,724.74 = 2,589.14/x
  3. Step 3: Cross multiply
    6,482x = 9,724.74 × 2,589.14
  4. Step 4: Simplify right side
    6,482x = 25,178,713.32
  5. Step 5: Solve for x
    x = 25,178,713.32/6,482
  6. Step 6: Final answer
    x = 3,884.41

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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.