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Finding the Fourth Proportional to 7,289.67, 10,930.87 and 2,844.67

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Solution

The fourth proportional to 7,289.67, 10,930.87 and 2,844.67 is: 4,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.67 : 10,930.87 = 2,844.67 : x
  2. Step 2: Convert to fraction form
    7,289.67/10,930.87 = 2,844.67/x
  3. Step 3: Cross multiply
    7,289.67x = 10,930.87 × 2,844.67
  4. Step 4: Simplify right side
    7,289.67x = 31,094,729.43
  5. Step 5: Solve for x
    x = 31,094,729.43/7,289.67
  6. Step 6: Final answer
    x = 4,265.59

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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.