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Finding the Fourth Proportional to 8,912.66, 12,286.37 and 6,784.48

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Solution

The fourth proportional to 8,912.66, 12,286.37 and 6,784.48 is: 9,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.66 : 12,286.37 = 6,784.48 : x
  2. Step 2: Convert to fraction form
    8,912.66/12,286.37 = 6,784.48/x
  3. Step 3: Cross multiply
    8,912.66x = 12,286.37 × 6,784.48
  4. Step 4: Simplify right side
    8,912.66x = 83,356,660.25
  5. Step 5: Solve for x
    x = 83,356,660.25/8,912.66
  6. Step 6: Final answer
    x = 9,352.62

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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.