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Finding the Fourth Proportional to 13,793.63, 19,037.33 and 7,824.03

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Solution

The fourth proportional to 13,793.63, 19,037.33 and 7,824.03 is: 10,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.63 : 19,037.33 = 7,824.03 : x
  2. Step 2: Convert to fraction form
    13,793.63/19,037.33 = 7,824.03/x
  3. Step 3: Cross multiply
    13,793.63x = 19,037.33 × 7,824.03
  4. Step 4: Simplify right side
    13,793.63x = 148,948,601.92
  5. Step 5: Solve for x
    x = 148,948,601.92/13,793.63
  6. Step 6: Final answer
    x = 10,798.37

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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.