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Finding the Fourth Proportional to 13,713.84, 18,922.68 and 8,049.24

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Solution

The fourth proportional to 13,713.84, 18,922.68 and 8,049.24 is: 11,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.84 : 18,922.68 = 8,049.24 : x
  2. Step 2: Convert to fraction form
    13,713.84/18,922.68 = 8,049.24/x
  3. Step 3: Cross multiply
    13,713.84x = 18,922.68 × 8,049.24
  4. Step 4: Simplify right side
    13,713.84x = 152,313,192.76
  5. Step 5: Solve for x
    x = 152,313,192.76/13,713.84
  6. Step 6: Final answer
    x = 11,106.53

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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.