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Finding the Fourth Proportional to 21,610.14, 32,415.21 and 5,194.14

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Solution

The fourth proportional to 21,610.14, 32,415.21 and 5,194.14 is: 7,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.14 : 32,415.21 = 5,194.14 : x
  2. Step 2: Convert to fraction form
    21,610.14/32,415.21 = 5,194.14/x
  3. Step 3: Cross multiply
    21,610.14x = 32,415.21 × 5,194.14
  4. Step 4: Simplify right side
    21,610.14x = 168,369,138.87
  5. Step 5: Solve for x
    x = 168,369,138.87/21,610.14
  6. Step 6: Final answer
    x = 7,791.21

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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.