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Finding the Fourth Proportional to 8,198.40, 12,297.60 and 7,647.60

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Solution

The fourth proportional to 8,198.40, 12,297.60 and 7,647.60 is: 11,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.40 : 12,297.60 = 7,647.60 : x
  2. Step 2: Convert to fraction form
    8,198.40/12,297.60 = 7,647.60/x
  3. Step 3: Cross multiply
    8,198.40x = 12,297.60 × 7,647.60
  4. Step 4: Simplify right side
    8,198.40x = 94,047,125.76
  5. Step 5: Solve for x
    x = 94,047,125.76/8,198.40
  6. Step 6: Final answer
    x = 11,471.40

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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.