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Finding the Fourth Proportional to 14,933.69, 20,608.34 and 8,219.17

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Solution

The fourth proportional to 14,933.69, 20,608.34 and 8,219.17 is: 11,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,933.69 : 20,608.34 = 8,219.17 : x
  2. Step 2: Convert to fraction form
    14,933.69/20,608.34 = 8,219.17/x
  3. Step 3: Cross multiply
    14,933.69x = 20,608.34 × 8,219.17
  4. Step 4: Simplify right side
    14,933.69x = 169,383,473.18
  5. Step 5: Solve for x
    x = 169,383,473.18/14,933.69
  6. Step 6: Final answer
    x = 11,342.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.