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Finding the Fourth Proportional to 12,276.94, 16,942.17 and 6,687.94

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Solution

The fourth proportional to 12,276.94, 16,942.17 and 6,687.94 is: 9,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.94 : 16,942.17 = 6,687.94 : x
  2. Step 2: Convert to fraction form
    12,276.94/16,942.17 = 6,687.94/x
  3. Step 3: Cross multiply
    12,276.94x = 16,942.17 × 6,687.94
  4. Step 4: Simplify right side
    12,276.94x = 113,308,199.15
  5. Step 5: Solve for x
    x = 113,308,199.15/12,276.94
  6. Step 6: Final answer
    x = 9,229.35

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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.