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Finding the Fourth Proportional to 12,267, 16,928.50 and 6,678.04

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Solution

The fourth proportional to 12,267, 16,928.50 and 6,678.04 is: 9,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267 : 16,928.50 = 6,678.04 : x
  2. Step 2: Convert to fraction form
    12,267/16,928.50 = 6,678.04/x
  3. Step 3: Cross multiply
    12,267x = 16,928.50 × 6,678.04
  4. Step 4: Simplify right side
    12,267x = 113,049,200.14
  5. Step 5: Solve for x
    x = 113,049,200.14/12,267
  6. Step 6: Final answer
    x = 9,215.72

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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.