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Finding the Fourth Proportional to 13,227.84, 18,256.32 and 7,922.88

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Solution

The fourth proportional to 13,227.84, 18,256.32 and 7,922.88 is: 10,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.84 : 18,256.32 = 7,922.88 : x
  2. Step 2: Convert to fraction form
    13,227.84/18,256.32 = 7,922.88/x
  3. Step 3: Cross multiply
    13,227.84x = 18,256.32 × 7,922.88
  4. Step 4: Simplify right side
    13,227.84x = 144,642,632.60
  5. Step 5: Solve for x
    x = 144,642,632.60/13,227.84
  6. Step 6: Final answer
    x = 10,934.71

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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.