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Finding the Fourth Proportional to 11,477.51, 17,227.06 and 5,638.31

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Solution

The fourth proportional to 11,477.51, 17,227.06 and 5,638.31 is: 8,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.51 : 17,227.06 = 5,638.31 : x
  2. Step 2: Convert to fraction form
    11,477.51/17,227.06 = 5,638.31/x
  3. Step 3: Cross multiply
    11,477.51x = 17,227.06 × 5,638.31
  4. Step 4: Simplify right side
    11,477.51x = 97,131,404.44
  5. Step 5: Solve for x
    x = 97,131,404.44/11,477.51
  6. Step 6: Final answer
    x = 8,462.76

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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.