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Finding the Fourth Proportional to 11,550.42, 15,940.67 and 6,835.41

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Solution

The fourth proportional to 11,550.42, 15,940.67 and 6,835.41 is: 9,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.42 : 15,940.67 = 6,835.41 : x
  2. Step 2: Convert to fraction form
    11,550.42/15,940.67 = 6,835.41/x
  3. Step 3: Cross multiply
    11,550.42x = 15,940.67 × 6,835.41
  4. Step 4: Simplify right side
    11,550.42x = 108,960,980.95
  5. Step 5: Solve for x
    x = 108,960,980.95/11,550.42
  6. Step 6: Final answer
    x = 9,433.51

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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.