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Finding the Fourth Proportional to 11,640.81, 17,461.22 and 3,849.63

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Solution

The fourth proportional to 11,640.81, 17,461.22 and 3,849.63 is: 5,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.81 : 17,461.22 = 3,849.63 : x
  2. Step 2: Convert to fraction form
    11,640.81/17,461.22 = 3,849.63/x
  3. Step 3: Cross multiply
    11,640.81x = 17,461.22 × 3,849.63
  4. Step 4: Simplify right side
    11,640.81x = 67,219,173.28
  5. Step 5: Solve for x
    x = 67,219,173.28/11,640.81
  6. Step 6: Final answer
    x = 5,774.44

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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.