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Finding the Fourth Proportional to 10,694.40, 16,021.20 and 5,762.40

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Solution

The fourth proportional to 10,694.40, 16,021.20 and 5,762.40 is: 8,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.40 : 16,021.20 = 5,762.40 : x
  2. Step 2: Convert to fraction form
    10,694.40/16,021.20 = 5,762.40/x
  3. Step 3: Cross multiply
    10,694.40x = 16,021.20 × 5,762.40
  4. Step 4: Simplify right side
    10,694.40x = 92,320,562.88
  5. Step 5: Solve for x
    x = 92,320,562.88/10,694.40
  6. Step 6: Final answer
    x = 8,632.61

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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.