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Finding the Fourth Proportional to 22,004.90, 32,995.20 and 7,206.20

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Solution

The fourth proportional to 22,004.90, 32,995.20 and 7,206.20 is: 10,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004.90 : 32,995.20 = 7,206.20 : x
  2. Step 2: Convert to fraction form
    22,004.90/32,995.20 = 7,206.20/x
  3. Step 3: Cross multiply
    22,004.90x = 32,995.20 × 7,206.20
  4. Step 4: Simplify right side
    22,004.90x = 237,770,010.24
  5. Step 5: Solve for x
    x = 237,770,010.24/22,004.90
  6. Step 6: Final answer
    x = 10,805.32

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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.