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Finding the Fourth Proportional to 9,608.70, 14,410.65 and 3,684.30

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Solution

The fourth proportional to 9,608.70, 14,410.65 and 3,684.30 is: 5,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.70 : 14,410.65 = 3,684.30 : x
  2. Step 2: Convert to fraction form
    9,608.70/14,410.65 = 3,684.30/x
  3. Step 3: Cross multiply
    9,608.70x = 14,410.65 × 3,684.30
  4. Step 4: Simplify right side
    9,608.70x = 53,093,157.80
  5. Step 5: Solve for x
    x = 53,093,157.80/9,608.70
  6. Step 6: Final answer
    x = 5,525.53

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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.