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Finding the Fourth Proportional to 9,600.26, 14,375.46 and 8,222.46

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Solution

The fourth proportional to 9,600.26, 14,375.46 and 8,222.46 is: 12,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.26 : 14,375.46 = 8,222.46 : x
  2. Step 2: Convert to fraction form
    9,600.26/14,375.46 = 8,222.46/x
  3. Step 3: Cross multiply
    9,600.26x = 14,375.46 × 8,222.46
  4. Step 4: Simplify right side
    9,600.26x = 118,201,644.83
  5. Step 5: Solve for x
    x = 118,201,644.83/9,600.26
  6. Step 6: Final answer
    x = 12,312.34

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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.