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Finding the Fourth Proportional to 13,793.96, 19,035.24 and 7,826.16

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Solution

The fourth proportional to 13,793.96, 19,035.24 and 7,826.16 is: 10,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.96 : 19,035.24 = 7,826.16 : x
  2. Step 2: Convert to fraction form
    13,793.96/19,035.24 = 7,826.16/x
  3. Step 3: Cross multiply
    13,793.96x = 19,035.24 × 7,826.16
  4. Step 4: Simplify right side
    13,793.96x = 148,972,833.88
  5. Step 5: Solve for x
    x = 148,972,833.88/13,793.96
  6. Step 6: Final answer
    x = 10,799.86

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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.