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Finding the Fourth Proportional to 21,564.82, 32,347.22 and 5,982.44

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Solution

The fourth proportional to 21,564.82, 32,347.22 and 5,982.44 is: 8,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.82 : 32,347.22 = 5,982.44 : x
  2. Step 2: Convert to fraction form
    21,564.82/32,347.22 = 5,982.44/x
  3. Step 3: Cross multiply
    21,564.82x = 32,347.22 × 5,982.44
  4. Step 4: Simplify right side
    21,564.82x = 193,515,302.82
  5. Step 5: Solve for x
    x = 193,515,302.82/21,564.82
  6. Step 6: Final answer
    x = 8,973.66

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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.