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Finding the Fourth Proportional to 12,268, 16,929.84 and 7,300

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Solution

The fourth proportional to 12,268, 16,929.84 and 7,300 is: 10,074

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268 : 16,929.84 = 7,300 : x
  2. Step 2: Convert to fraction form
    12,268/16,929.84 = 7,300/x
  3. Step 3: Cross multiply
    12,268x = 16,929.84 × 7,300
  4. Step 4: Simplify right side
    12,268x = 123,587,832
  5. Step 5: Solve for x
    x = 123,587,832/12,268
  6. Step 6: Final answer
    x = 10,074

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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.