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Finding the Fourth Proportional to 21,997.54, 32,995.77 and 6,415.30

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Solution

The fourth proportional to 21,997.54, 32,995.77 and 6,415.30 is: 9,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.54 : 32,995.77 = 6,415.30 : x
  2. Step 2: Convert to fraction form
    21,997.54/32,995.77 = 6,415.30/x
  3. Step 3: Cross multiply
    21,997.54x = 32,995.77 × 6,415.30
  4. Step 4: Simplify right side
    21,997.54x = 211,677,763.28
  5. Step 5: Solve for x
    x = 211,677,763.28/21,997.54
  6. Step 6: Final answer
    x = 9,622.79

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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.