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Finding the Fourth Proportional to 14,342.76, 19,793.25 and 7,969.77

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Solution

The fourth proportional to 14,342.76, 19,793.25 and 7,969.77 is: 10,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.76 : 19,793.25 = 7,969.77 : x
  2. Step 2: Convert to fraction form
    14,342.76/19,793.25 = 7,969.77/x
  3. Step 3: Cross multiply
    14,342.76x = 19,793.25 × 7,969.77
  4. Step 4: Simplify right side
    14,342.76x = 157,747,650.05
  5. Step 5: Solve for x
    x = 157,747,650.05/14,342.76
  6. Step 6: Final answer
    x = 10,998.42

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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.