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Finding the Fourth Proportional to 11,293, 15,584.31 and 6,257.23

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Solution

The fourth proportional to 11,293, 15,584.31 and 6,257.23 is: 8,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293 : 15,584.31 = 6,257.23 : x
  2. Step 2: Convert to fraction form
    11,293/15,584.31 = 6,257.23/x
  3. Step 3: Cross multiply
    11,293x = 15,584.31 × 6,257.23
  4. Step 4: Simplify right side
    11,293x = 97,514,612.06
  5. Step 5: Solve for x
    x = 97,514,612.06/11,293
  6. Step 6: Final answer
    x = 8,634.96

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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.