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Finding the Fourth Proportional to 8,531.19, 11,770.52 and 8,249.31

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Solution

The fourth proportional to 8,531.19, 11,770.52 and 8,249.31 is: 11,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.19 : 11,770.52 = 8,249.31 : x
  2. Step 2: Convert to fraction form
    8,531.19/11,770.52 = 8,249.31/x
  3. Step 3: Cross multiply
    8,531.19x = 11,770.52 × 8,249.31
  4. Step 4: Simplify right side
    8,531.19x = 97,098,627.09
  5. Step 5: Solve for x
    x = 97,098,627.09/8,531.19
  6. Step 6: Final answer
    x = 11,381.60

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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.