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Finding the Fourth Proportional to 9,201.99, 13,793.06 and 4,516.54

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Solution

The fourth proportional to 9,201.99, 13,793.06 and 4,516.54 is: 6,769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.99 : 13,793.06 = 4,516.54 : x
  2. Step 2: Convert to fraction form
    9,201.99/13,793.06 = 4,516.54/x
  3. Step 3: Cross multiply
    9,201.99x = 13,793.06 × 4,516.54
  4. Step 4: Simplify right side
    9,201.99x = 62,296,884.63
  5. Step 5: Solve for x
    x = 62,296,884.63/9,201.99
  6. Step 6: Final answer
    x = 6,769.94

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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.