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Finding the Fourth Proportional to 11,467, 15,824.70 and 6,499

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Solution

The fourth proportional to 11,467, 15,824.70 and 6,499 is: 8,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467 : 15,824.70 = 6,499 : x
  2. Step 2: Convert to fraction form
    11,467/15,824.70 = 6,499/x
  3. Step 3: Cross multiply
    11,467x = 15,824.70 × 6,499
  4. Step 4: Simplify right side
    11,467x = 102,844,725.30
  5. Step 5: Solve for x
    x = 102,844,725.30/11,467
  6. Step 6: Final answer
    x = 8,968.76

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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.