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Finding the Fourth Proportional to 17,212.56, 25,822.64 and 6,824.04

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Solution

The fourth proportional to 17,212.56, 25,822.64 and 6,824.04 is: 10,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,212.56 : 25,822.64 = 6,824.04 : x
  2. Step 2: Convert to fraction form
    17,212.56/25,822.64 = 6,824.04/x
  3. Step 3: Cross multiply
    17,212.56x = 25,822.64 × 6,824.04
  4. Step 4: Simplify right side
    17,212.56x = 176,214,728.27
  5. Step 5: Solve for x
    x = 176,214,728.27/17,212.56
  6. Step 6: Final answer
    x = 10,237.57

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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.