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Finding the Fourth Proportional to 14,651.69, 21,989.34 and 7,633.85

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Solution

The fourth proportional to 14,651.69, 21,989.34 and 7,633.85 is: 11,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.69 : 21,989.34 = 7,633.85 : x
  2. Step 2: Convert to fraction form
    14,651.69/21,989.34 = 7,633.85/x
  3. Step 3: Cross multiply
    14,651.69x = 21,989.34 × 7,633.85
  4. Step 4: Simplify right side
    14,651.69x = 167,863,213.21
  5. Step 5: Solve for x
    x = 167,863,213.21/14,651.69
  6. Step 6: Final answer
    x = 11,456.92

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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.