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Finding the Fourth Proportional to 9,384.68, 12,945.22 and 6,198.02

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Solution

The fourth proportional to 9,384.68, 12,945.22 and 6,198.02 is: 8,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.68 : 12,945.22 = 6,198.02 : x
  2. Step 2: Convert to fraction form
    9,384.68/12,945.22 = 6,198.02/x
  3. Step 3: Cross multiply
    9,384.68x = 12,945.22 × 6,198.02
  4. Step 4: Simplify right side
    9,384.68x = 80,234,732.46
  5. Step 5: Solve for x
    x = 80,234,732.46/9,384.68
  6. Step 6: Final answer
    x = 8,549.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.