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Finding the Fourth Proportional to 8,514.32, 11,743.11 and 5,531.12

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Solution

The fourth proportional to 8,514.32, 11,743.11 and 5,531.12 is: 7,628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.32 : 11,743.11 = 5,531.12 : x
  2. Step 2: Convert to fraction form
    8,514.32/11,743.11 = 5,531.12/x
  3. Step 3: Cross multiply
    8,514.32x = 11,743.11 × 5,531.12
  4. Step 4: Simplify right side
    8,514.32x = 64,952,471.13
  5. Step 5: Solve for x
    x = 64,952,471.13/8,514.32
  6. Step 6: Final answer
    x = 7,628.61

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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.