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Finding the Fourth Proportional to 11,291.01, 15,584.19 and 7,514.34

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Solution

The fourth proportional to 11,291.01, 15,584.19 and 7,514.34 is: 10,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.01 : 15,584.19 = 7,514.34 : x
  2. Step 2: Convert to fraction form
    11,291.01/15,584.19 = 7,514.34/x
  3. Step 3: Cross multiply
    11,291.01x = 15,584.19 × 7,514.34
  4. Step 4: Simplify right side
    11,291.01x = 117,104,805.58
  5. Step 5: Solve for x
    x = 117,104,805.58/11,291.01
  6. Step 6: Final answer
    x = 10,371.51

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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.