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Finding the Fourth Proportional to 6,597.82, 9,896.88 and 2,380.90

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Solution

The fourth proportional to 6,597.82, 9,896.88 and 2,380.90 is: 3,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.82 : 9,896.88 = 2,380.90 : x
  2. Step 2: Convert to fraction form
    6,597.82/9,896.88 = 2,380.90/x
  3. Step 3: Cross multiply
    6,597.82x = 9,896.88 × 2,380.90
  4. Step 4: Simplify right side
    6,597.82x = 23,563,481.59
  5. Step 5: Solve for x
    x = 23,563,481.59/6,597.82
  6. Step 6: Final answer
    x = 3,571.40

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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.