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Finding the Fourth Proportional to 11,524.26, 15,905.02 and 6,489.48

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Solution

The fourth proportional to 11,524.26, 15,905.02 and 6,489.48 is: 8,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.26 : 15,905.02 = 6,489.48 : x
  2. Step 2: Convert to fraction form
    11,524.26/15,905.02 = 6,489.48/x
  3. Step 3: Cross multiply
    11,524.26x = 15,905.02 × 6,489.48
  4. Step 4: Simplify right side
    11,524.26x = 103,215,309.19
  5. Step 5: Solve for x
    x = 103,215,309.19/11,524.26
  6. Step 6: Final answer
    x = 8,956.35

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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.