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Finding the Fourth Proportional to 12,286.22, 16,956.95 and 6,982.74

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Solution

The fourth proportional to 12,286.22, 16,956.95 and 6,982.74 is: 9,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.22 : 16,956.95 = 6,982.74 : x
  2. Step 2: Convert to fraction form
    12,286.22/16,956.95 = 6,982.74/x
  3. Step 3: Cross multiply
    12,286.22x = 16,956.95 × 6,982.74
  4. Step 4: Simplify right side
    12,286.22x = 118,405,938.13
  5. Step 5: Solve for x
    x = 118,405,938.13/12,286.22
  6. Step 6: Final answer
    x = 9,637.30

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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.