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Finding the Fourth Proportional to 12,073.96, 16,662.40 and 6,768.64

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Solution

The fourth proportional to 12,073.96, 16,662.40 and 6,768.64 is: 9,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.96 : 16,662.40 = 6,768.64 : x
  2. Step 2: Convert to fraction form
    12,073.96/16,662.40 = 6,768.64/x
  3. Step 3: Cross multiply
    12,073.96x = 16,662.40 × 6,768.64
  4. Step 4: Simplify right side
    12,073.96x = 112,781,787.14
  5. Step 5: Solve for x
    x = 112,781,787.14/12,073.96
  6. Step 6: Final answer
    x = 9,340.91

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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.