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Finding the Fourth Proportional to 11,242, 15,514.02 and 6,274

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Solution

The fourth proportional to 11,242, 15,514.02 and 6,274 is: 8,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242 : 15,514.02 = 6,274 : x
  2. Step 2: Convert to fraction form
    11,242/15,514.02 = 6,274/x
  3. Step 3: Cross multiply
    11,242x = 15,514.02 × 6,274
  4. Step 4: Simplify right side
    11,242x = 97,334,961.48
  5. Step 5: Solve for x
    x = 97,334,961.48/11,242
  6. Step 6: Final answer
    x = 8,658.15

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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.