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Finding the Fourth Proportional to 9,101.46, 13,651.22 and 3,257.30

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Solution

The fourth proportional to 9,101.46, 13,651.22 and 3,257.30 is: 4,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.46 : 13,651.22 = 3,257.30 : x
  2. Step 2: Convert to fraction form
    9,101.46/13,651.22 = 3,257.30/x
  3. Step 3: Cross multiply
    9,101.46x = 13,651.22 × 3,257.30
  4. Step 4: Simplify right side
    9,101.46x = 44,466,118.91
  5. Step 5: Solve for x
    x = 44,466,118.91/9,101.46
  6. Step 6: Final answer
    x = 4,885.60

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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.