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Finding the Fourth Proportional to 11,906.99, 16,398.39 and 11,648.64

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Solution

The fourth proportional to 11,906.99, 16,398.39 and 11,648.64 is: 16,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.99 : 16,398.39 = 11,648.64 : x
  2. Step 2: Convert to fraction form
    11,906.99/16,398.39 = 11,648.64/x
  3. Step 3: Cross multiply
    11,906.99x = 16,398.39 × 11,648.64
  4. Step 4: Simplify right side
    11,906.99x = 191,018,941.69
  5. Step 5: Solve for x
    x = 191,018,941.69/11,906.99
  6. Step 6: Final answer
    x = 16,042.60

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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.