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Finding the Fourth Proportional to 12,114.15, 16,717.92 and 7,334.97

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Solution

The fourth proportional to 12,114.15, 16,717.92 and 7,334.97 is: 10,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.15 : 16,717.92 = 7,334.97 : x
  2. Step 2: Convert to fraction form
    12,114.15/16,717.92 = 7,334.97/x
  3. Step 3: Cross multiply
    12,114.15x = 16,717.92 × 7,334.97
  4. Step 4: Simplify right side
    12,114.15x = 122,625,441.66
  5. Step 5: Solve for x
    x = 122,625,441.66/12,114.15
  6. Step 6: Final answer
    x = 10,122.50

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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.