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Finding the Fourth Proportional to 6,198.96, 9,290.01 and 3,421.50

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Solution

The fourth proportional to 6,198.96, 9,290.01 and 3,421.50 is: 5,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.96 : 9,290.01 = 3,421.50 : x
  2. Step 2: Convert to fraction form
    6,198.96/9,290.01 = 3,421.50/x
  3. Step 3: Cross multiply
    6,198.96x = 9,290.01 × 3,421.50
  4. Step 4: Simplify right side
    6,198.96x = 31,785,769.22
  5. Step 5: Solve for x
    x = 31,785,769.22/6,198.96
  6. Step 6: Final answer
    x = 5,127.60

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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.