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Finding the Fourth Proportional to 11,774.90, 17,536.64 and 11,638.82

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Solution

The fourth proportional to 11,774.90, 17,536.64 and 11,638.82 is: 17,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.90 : 17,536.64 = 11,638.82 : x
  2. Step 2: Convert to fraction form
    11,774.90/17,536.64 = 11,638.82/x
  3. Step 3: Cross multiply
    11,774.90x = 17,536.64 × 11,638.82
  4. Step 4: Simplify right side
    11,774.90x = 204,105,796.36
  5. Step 5: Solve for x
    x = 204,105,796.36/11,774.90
  6. Step 6: Final answer
    x = 17,333.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.