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Finding the Fourth Proportional to 7,604.31, 11,407.12 and 2,057.63

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Solution

The fourth proportional to 7,604.31, 11,407.12 and 2,057.63 is: 3,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.31 : 11,407.12 = 2,057.63 : x
  2. Step 2: Convert to fraction form
    7,604.31/11,407.12 = 2,057.63/x
  3. Step 3: Cross multiply
    7,604.31x = 11,407.12 × 2,057.63
  4. Step 4: Simplify right side
    7,604.31x = 23,471,632.33
  5. Step 5: Solve for x
    x = 23,471,632.33/7,604.31
  6. Step 6: Final answer
    x = 3,086.62

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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.