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Finding the Fourth Proportional to 12,184.81, 16,817.81 and 7,928.36

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Solution

The fourth proportional to 12,184.81, 16,817.81 and 7,928.36 is: 10,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.81 : 16,817.81 = 7,928.36 : x
  2. Step 2: Convert to fraction form
    12,184.81/16,817.81 = 7,928.36/x
  3. Step 3: Cross multiply
    12,184.81x = 16,817.81 × 7,928.36
  4. Step 4: Simplify right side
    12,184.81x = 133,337,652.09
  5. Step 5: Solve for x
    x = 133,337,652.09/12,184.81
  6. Step 6: Final answer
    x = 10,942.94

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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.