Home / 6,784.23-10,177.80-2,104.14

Finding the Fourth Proportional to 6,784.23, 10,177.80 and 2,104.14

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Solution

The fourth proportional to 6,784.23, 10,177.80 and 2,104.14 is: 3,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.23 : 10,177.80 = 2,104.14 : x
  2. Step 2: Convert to fraction form
    6,784.23/10,177.80 = 2,104.14/x
  3. Step 3: Cross multiply
    6,784.23x = 10,177.80 × 2,104.14
  4. Step 4: Simplify right side
    6,784.23x = 21,415,562.15
  5. Step 5: Solve for x
    x = 21,415,562.15/6,784.23
  6. Step 6: Final answer
    x = 3,156.67

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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.