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Finding the Fourth Proportional to 7,736.59, 11,605.12 and 1,893.21

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Solution

The fourth proportional to 7,736.59, 11,605.12 and 1,893.21 is: 2,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.59 : 11,605.12 = 1,893.21 : x
  2. Step 2: Convert to fraction form
    7,736.59/11,605.12 = 1,893.21/x
  3. Step 3: Cross multiply
    7,736.59x = 11,605.12 × 1,893.21
  4. Step 4: Simplify right side
    7,736.59x = 21,970,929.24
  5. Step 5: Solve for x
    x = 21,970,929.24/7,736.59
  6. Step 6: Final answer
    x = 2,839.87

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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.