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Finding the Fourth Proportional to 11,737.71, 16,197.99 and 7,023.09

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Solution

The fourth proportional to 11,737.71, 16,197.99 and 7,023.09 is: 9,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.71 : 16,197.99 = 7,023.09 : x
  2. Step 2: Convert to fraction form
    11,737.71/16,197.99 = 7,023.09/x
  3. Step 3: Cross multiply
    11,737.71x = 16,197.99 × 7,023.09
  4. Step 4: Simplify right side
    11,737.71x = 113,759,941.59
  5. Step 5: Solve for x
    x = 113,759,941.59/11,737.71
  6. Step 6: Final answer
    x = 9,691.83

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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.