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Finding the Fourth Proportional to 6,701.90, 10,052.80 and 2,021.90

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Solution

The fourth proportional to 6,701.90, 10,052.80 and 2,021.90 is: 3,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.90 : 10,052.80 = 2,021.90 : x
  2. Step 2: Convert to fraction form
    6,701.90/10,052.80 = 2,021.90/x
  3. Step 3: Cross multiply
    6,701.90x = 10,052.80 × 2,021.90
  4. Step 4: Simplify right side
    6,701.90x = 20,325,756.32
  5. Step 5: Solve for x
    x = 20,325,756.32/6,701.90
  6. Step 6: Final answer
    x = 3,032.83

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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.