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Finding the Fourth Proportional to 9,231.76, 13,846.20 and 4,299.76

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Solution

The fourth proportional to 9,231.76, 13,846.20 and 4,299.76 is: 6,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.76 : 13,846.20 = 4,299.76 : x
  2. Step 2: Convert to fraction form
    9,231.76/13,846.20 = 4,299.76/x
  3. Step 3: Cross multiply
    9,231.76x = 13,846.20 × 4,299.76
  4. Step 4: Simplify right side
    9,231.76x = 59,535,336.91
  5. Step 5: Solve for x
    x = 59,535,336.91/9,231.76
  6. Step 6: Final answer
    x = 6,448.97

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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.