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Finding the Fourth Proportional to 9,822.24, 14,745.84 and 5,934.24

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Solution

The fourth proportional to 9,822.24, 14,745.84 and 5,934.24 is: 8,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.24 : 14,745.84 = 5,934.24 : x
  2. Step 2: Convert to fraction form
    9,822.24/14,745.84 = 5,934.24/x
  3. Step 3: Cross multiply
    9,822.24x = 14,745.84 × 5,934.24
  4. Step 4: Simplify right side
    9,822.24x = 87,505,353.56
  5. Step 5: Solve for x
    x = 87,505,353.56/9,822.24
  6. Step 6: Final answer
    x = 8,908.90

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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.