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Finding the Fourth Proportional to 9,102.92, 13,651.44 and 3,554.92

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Solution

The fourth proportional to 9,102.92, 13,651.44 and 3,554.92 is: 5,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.92 : 13,651.44 = 3,554.92 : x
  2. Step 2: Convert to fraction form
    9,102.92/13,651.44 = 3,554.92/x
  3. Step 3: Cross multiply
    9,102.92x = 13,651.44 × 3,554.92
  4. Step 4: Simplify right side
    9,102.92x = 48,529,777.08
  5. Step 5: Solve for x
    x = 48,529,777.08/9,102.92
  6. Step 6: Final answer
    x = 5,331.23

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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.