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Finding the Fourth Proportional to 13,484.88, 20,230.02 and 5,164.56

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Solution

The fourth proportional to 13,484.88, 20,230.02 and 5,164.56 is: 7,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.88 : 20,230.02 = 5,164.56 : x
  2. Step 2: Convert to fraction form
    13,484.88/20,230.02 = 5,164.56/x
  3. Step 3: Cross multiply
    13,484.88x = 20,230.02 × 5,164.56
  4. Step 4: Simplify right side
    13,484.88x = 104,479,152.09
  5. Step 5: Solve for x
    x = 104,479,152.09/13,484.88
  6. Step 6: Final answer
    x = 7,747.87

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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.