Home / 6,804.24-10,199.88-2,184

Finding the Fourth Proportional to 6,804.24, 10,199.88 and 2,184

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Solution

The fourth proportional to 6,804.24, 10,199.88 and 2,184 is: 3,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.24 : 10,199.88 = 2,184 : x
  2. Step 2: Convert to fraction form
    6,804.24/10,199.88 = 2,184/x
  3. Step 3: Cross multiply
    6,804.24x = 10,199.88 × 2,184
  4. Step 4: Simplify right side
    6,804.24x = 22,276,537.92
  5. Step 5: Solve for x
    x = 22,276,537.92/6,804.24
  6. Step 6: Final answer
    x = 3,273.92

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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.