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Finding the Fourth Proportional to 6,121.60, 9,170.60 and 3,658.40

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Solution

The fourth proportional to 6,121.60, 9,170.60 and 3,658.40 is: 5,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.60 : 9,170.60 = 3,658.40 : x
  2. Step 2: Convert to fraction form
    6,121.60/9,170.60 = 3,658.40/x
  3. Step 3: Cross multiply
    6,121.60x = 9,170.60 × 3,658.40
  4. Step 4: Simplify right side
    6,121.60x = 33,549,723.04
  5. Step 5: Solve for x
    x = 33,549,723.04/6,121.60
  6. Step 6: Final answer
    x = 5,480.55

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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.