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Finding the Fourth Proportional to 9,524.36, 13,222.78 and 9,239.24

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Solution

The fourth proportional to 9,524.36, 13,222.78 and 9,239.24 is: 12,826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.36 : 13,222.78 = 9,239.24 : x
  2. Step 2: Convert to fraction form
    9,524.36/13,222.78 = 9,239.24/x
  3. Step 3: Cross multiply
    9,524.36x = 13,222.78 × 9,239.24
  4. Step 4: Simplify right side
    9,524.36x = 122,168,437.89
  5. Step 5: Solve for x
    x = 122,168,437.89/9,524.36
  6. Step 6: Final answer
    x = 12,826.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.