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Finding the Fourth Proportional to 13,793.88, 19,044.54 and 9,086.16

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Solution

The fourth proportional to 13,793.88, 19,044.54 and 9,086.16 is: 12,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.88 : 19,044.54 = 9,086.16 : x
  2. Step 2: Convert to fraction form
    13,793.88/19,044.54 = 9,086.16/x
  3. Step 3: Cross multiply
    13,793.88x = 19,044.54 × 9,086.16
  4. Step 4: Simplify right side
    13,793.88x = 173,041,737.57
  5. Step 5: Solve for x
    x = 173,041,737.57/13,793.88
  6. Step 6: Final answer
    x = 12,544.82

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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.