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Finding the Fourth Proportional to 12,092.16, 16,686.90 and 6,787.20

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Solution

The fourth proportional to 12,092.16, 16,686.90 and 6,787.20 is: 9,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.16 : 16,686.90 = 6,787.20 : x
  2. Step 2: Convert to fraction form
    12,092.16/16,686.90 = 6,787.20/x
  3. Step 3: Cross multiply
    12,092.16x = 16,686.90 × 6,787.20
  4. Step 4: Simplify right side
    12,092.16x = 113,257,327.68
  5. Step 5: Solve for x
    x = 113,257,327.68/12,092.16
  6. Step 6: Final answer
    x = 9,366.18

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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.