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Finding the Fourth Proportional to 11,596.75, 17,393.10 and 5,356.23

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Solution

The fourth proportional to 11,596.75, 17,393.10 and 5,356.23 is: 8,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.75 : 17,393.10 = 5,356.23 : x
  2. Step 2: Convert to fraction form
    11,596.75/17,393.10 = 5,356.23/x
  3. Step 3: Cross multiply
    11,596.75x = 17,393.10 × 5,356.23
  4. Step 4: Simplify right side
    11,596.75x = 93,161,444.01
  5. Step 5: Solve for x
    x = 93,161,444.01/11,596.75
  6. Step 6: Final answer
    x = 8,033.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.