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Finding the Fourth Proportional to 7,737.09, 11,596.99 and 7,114.33

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Solution

The fourth proportional to 7,737.09, 11,596.99 and 7,114.33 is: 10,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.09 : 11,596.99 = 7,114.33 : x
  2. Step 2: Convert to fraction form
    7,737.09/11,596.99 = 7,114.33/x
  3. Step 3: Cross multiply
    7,737.09x = 11,596.99 × 7,114.33
  4. Step 4: Simplify right side
    7,737.09x = 82,504,813.87
  5. Step 5: Solve for x
    x = 82,504,813.87/7,737.09
  6. Step 6: Final answer
    x = 10,663.55

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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.