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Finding the Fourth Proportional to 6,980.38, 9,632.11 and 3,996.03

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Solution

The fourth proportional to 6,980.38, 9,632.11 and 3,996.03 is: 5,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.38 : 9,632.11 = 3,996.03 : x
  2. Step 2: Convert to fraction form
    6,980.38/9,632.11 = 3,996.03/x
  3. Step 3: Cross multiply
    6,980.38x = 9,632.11 × 3,996.03
  4. Step 4: Simplify right side
    6,980.38x = 38,490,200.52
  5. Step 5: Solve for x
    x = 38,490,200.52/6,980.38
  6. Step 6: Final answer
    x = 5,514.06

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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.