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Finding the Fourth Proportional to 9,745.56, 14,614.02 and 6,825.24

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Solution

The fourth proportional to 9,745.56, 14,614.02 and 6,825.24 is: 10,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.56 : 14,614.02 = 6,825.24 : x
  2. Step 2: Convert to fraction form
    9,745.56/14,614.02 = 6,825.24/x
  3. Step 3: Cross multiply
    9,745.56x = 14,614.02 × 6,825.24
  4. Step 4: Simplify right side
    9,745.56x = 99,744,193.86
  5. Step 5: Solve for x
    x = 99,744,193.86/9,745.56
  6. Step 6: Final answer
    x = 10,234.83

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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.