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Finding the Fourth Proportional to 13,524.63, 20,273.04 and 6,494.10

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Solution

The fourth proportional to 13,524.63, 20,273.04 and 6,494.10 is: 9,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.63 : 20,273.04 = 6,494.10 : x
  2. Step 2: Convert to fraction form
    13,524.63/20,273.04 = 6,494.10/x
  3. Step 3: Cross multiply
    13,524.63x = 20,273.04 × 6,494.10
  4. Step 4: Simplify right side
    13,524.63x = 131,655,149.06
  5. Step 5: Solve for x
    x = 131,655,149.06/13,524.63
  6. Step 6: Final answer
    x = 9,734.47

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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.