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Finding the Fourth Proportional to 11,596.88, 15,997 and 7,400.40

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Solution

The fourth proportional to 11,596.88, 15,997 and 7,400.40 is: 10,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.88 : 15,997 = 7,400.40 : x
  2. Step 2: Convert to fraction form
    11,596.88/15,997 = 7,400.40/x
  3. Step 3: Cross multiply
    11,596.88x = 15,997 × 7,400.40
  4. Step 4: Simplify right side
    11,596.88x = 118,384,198.80
  5. Step 5: Solve for x
    x = 118,384,198.80/11,596.88
  6. Step 6: Final answer
    x = 10,208.28

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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.