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Finding the Fourth Proportional to 23,096, 34,655.55 and 8,308.24

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Solution

The fourth proportional to 23,096, 34,655.55 and 8,308.24 is: 12,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096 : 34,655.55 = 8,308.24 : x
  2. Step 2: Convert to fraction form
    23,096/34,655.55 = 8,308.24/x
  3. Step 3: Cross multiply
    23,096x = 34,655.55 × 8,308.24
  4. Step 4: Simplify right side
    23,096x = 287,926,626.73
  5. Step 5: Solve for x
    x = 287,926,626.73/23,096
  6. Step 6: Final answer
    x = 12,466.51

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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.