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Finding the Fourth Proportional to 9,600.10, 14,375.54 and 8,123.88

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Solution

The fourth proportional to 9,600.10, 14,375.54 and 8,123.88 is: 12,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.10 : 14,375.54 = 8,123.88 : x
  2. Step 2: Convert to fraction form
    9,600.10/14,375.54 = 8,123.88/x
  3. Step 3: Cross multiply
    9,600.10x = 14,375.54 × 8,123.88
  4. Step 4: Simplify right side
    9,600.10x = 116,785,161.90
  5. Step 5: Solve for x
    x = 116,785,161.90/9,600.10
  6. Step 6: Final answer
    x = 12,164.99

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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.