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Finding the Fourth Proportional to 11,514, 15,889.36 and 6,546

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Solution

The fourth proportional to 11,514, 15,889.36 and 6,546 is: 9,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514 : 15,889.36 = 6,546 : x
  2. Step 2: Convert to fraction form
    11,514/15,889.36 = 6,546/x
  3. Step 3: Cross multiply
    11,514x = 15,889.36 × 6,546
  4. Step 4: Simplify right side
    11,514x = 104,011,750.56
  5. Step 5: Solve for x
    x = 104,011,750.56/11,514
  6. Step 6: Final answer
    x = 9,033.50

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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.