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Finding the Fourth Proportional to 12,301.14, 16,975.62 and 6,712.14

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Solution

The fourth proportional to 12,301.14, 16,975.62 and 6,712.14 is: 9,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.14 : 16,975.62 = 6,712.14 : x
  2. Step 2: Convert to fraction form
    12,301.14/16,975.62 = 6,712.14/x
  3. Step 3: Cross multiply
    12,301.14x = 16,975.62 × 6,712.14
  4. Step 4: Simplify right side
    12,301.14x = 113,942,738.03
  5. Step 5: Solve for x
    x = 113,942,738.03/12,301.14
  6. Step 6: Final answer
    x = 9,262.78

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1.5x scale

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.