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Finding the Fourth Proportional to 11,514.88, 15,885.54 and 7,262.58

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Solution

The fourth proportional to 11,514.88, 15,885.54 and 7,262.58 is: 10,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.88 : 15,885.54 = 7,262.58 : x
  2. Step 2: Convert to fraction form
    11,514.88/15,885.54 = 7,262.58/x
  3. Step 3: Cross multiply
    11,514.88x = 15,885.54 × 7,262.58
  4. Step 4: Simplify right side
    11,514.88x = 115,370,005.09
  5. Step 5: Solve for x
    x = 115,370,005.09/11,514.88
  6. Step 6: Final answer
    x = 10,019.21

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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.