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Finding the Fourth Proportional to 6,851.85, 10,228.20 and 6,021.49

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Solution

The fourth proportional to 6,851.85, 10,228.20 and 6,021.49 is: 8,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.85 : 10,228.20 = 6,021.49 : x
  2. Step 2: Convert to fraction form
    6,851.85/10,228.20 = 6,021.49/x
  3. Step 3: Cross multiply
    6,851.85x = 10,228.20 × 6,021.49
  4. Step 4: Simplify right side
    6,851.85x = 61,589,004.02
  5. Step 5: Solve for x
    x = 61,589,004.02/6,851.85
  6. Step 6: Final answer
    x = 8,988.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.