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Finding the Fourth Proportional to 14,110.26, 19,472.02 and 7,737.21

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Solution

The fourth proportional to 14,110.26, 19,472.02 and 7,737.21 is: 10,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.26 : 19,472.02 = 7,737.21 : x
  2. Step 2: Convert to fraction form
    14,110.26/19,472.02 = 7,737.21/x
  3. Step 3: Cross multiply
    14,110.26x = 19,472.02 × 7,737.21
  4. Step 4: Simplify right side
    14,110.26x = 150,659,107.86
  5. Step 5: Solve for x
    x = 150,659,107.86/14,110.26
  6. Step 6: Final answer
    x = 10,677.27

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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.