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Finding the Fourth Proportional to 23,198.21, 34,797.30 and 8,407.10

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Solution

The fourth proportional to 23,198.21, 34,797.30 and 8,407.10 is: 12,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.21 : 34,797.30 = 8,407.10 : x
  2. Step 2: Convert to fraction form
    23,198.21/34,797.30 = 8,407.10/x
  3. Step 3: Cross multiply
    23,198.21x = 34,797.30 × 8,407.10
  4. Step 4: Simplify right side
    23,198.21x = 292,544,206.84
  5. Step 5: Solve for x
    x = 292,544,206.84/23,198.21
  6. Step 6: Final answer
    x = 12,610.64

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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.