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Finding the Fourth Proportional to 11,625.68, 17,438.52 and 7,737.68

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Solution

The fourth proportional to 11,625.68, 17,438.52 and 7,737.68 is: 11,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.68 : 17,438.52 = 7,737.68 : x
  2. Step 2: Convert to fraction form
    11,625.68/17,438.52 = 7,737.68/x
  3. Step 3: Cross multiply
    11,625.68x = 17,438.52 × 7,737.68
  4. Step 4: Simplify right side
    11,625.68x = 134,933,687.43
  5. Step 5: Solve for x
    x = 134,933,687.43/11,625.68
  6. Step 6: Final answer
    x = 11,606.52

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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.