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Finding the Fourth Proportional to 7,737.09, 11,605.88 and 1,893.71

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Solution

The fourth proportional to 7,737.09, 11,605.88 and 1,893.71 is: 2,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.09 : 11,605.88 = 1,893.71 : x
  2. Step 2: Convert to fraction form
    7,737.09/11,605.88 = 1,893.71/x
  3. Step 3: Cross multiply
    7,737.09x = 11,605.88 × 1,893.71
  4. Step 4: Simplify right side
    7,737.09x = 21,978,103.52
  5. Step 5: Solve for x
    x = 21,978,103.52/7,737.09
  6. Step 6: Final answer
    x = 2,840.62

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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.