Home / 6,205-9,303.72-2,504.20

Finding the Fourth Proportional to 6,205, 9,303.72 and 2,504.20

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Solution

The fourth proportional to 6,205, 9,303.72 and 2,504.20 is: 3,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205 : 9,303.72 = 2,504.20 : x
  2. Step 2: Convert to fraction form
    6,205/9,303.72 = 2,504.20/x
  3. Step 3: Cross multiply
    6,205x = 9,303.72 × 2,504.20
  4. Step 4: Simplify right side
    6,205x = 23,298,375.62
  5. Step 5: Solve for x
    x = 23,298,375.62/6,205
  6. Step 6: Final answer
    x = 3,754.77

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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.