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Finding the Fourth Proportional to 6,180.55, 9,270.87 and 4,946.38

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Solution

The fourth proportional to 6,180.55, 9,270.87 and 4,946.38 is: 7,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.55 : 9,270.87 = 4,946.38 : x
  2. Step 2: Convert to fraction form
    6,180.55/9,270.87 = 4,946.38/x
  3. Step 3: Cross multiply
    6,180.55x = 9,270.87 × 4,946.38
  4. Step 4: Simplify right side
    6,180.55x = 45,857,245.95
  5. Step 5: Solve for x
    x = 45,857,245.95/6,180.55
  6. Step 6: Final answer
    x = 7,419.61

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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.