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Finding the Fourth Proportional to 6,765.22, 10,133.88 and 6,198.22

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Solution

The fourth proportional to 6,765.22, 10,133.88 and 6,198.22 is: 9,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.22 : 10,133.88 = 6,198.22 : x
  2. Step 2: Convert to fraction form
    6,765.22/10,133.88 = 6,198.22/x
  3. Step 3: Cross multiply
    6,765.22x = 10,133.88 × 6,198.22
  4. Step 4: Simplify right side
    6,765.22x = 62,812,017.69
  5. Step 5: Solve for x
    x = 62,812,017.69/6,765.22
  6. Step 6: Final answer
    x = 9,284.55

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1.5x scale

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.