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Finding the Fourth Proportional to 22,007.75, 32,991.88 and 7,964.48

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Solution

The fourth proportional to 22,007.75, 32,991.88 and 7,964.48 is: 11,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007.75 : 32,991.88 = 7,964.48 : x
  2. Step 2: Convert to fraction form
    22,007.75/32,991.88 = 7,964.48/x
  3. Step 3: Cross multiply
    22,007.75x = 32,991.88 × 7,964.48
  4. Step 4: Simplify right side
    22,007.75x = 262,763,082.75
  5. Step 5: Solve for x
    x = 262,763,082.75/22,007.75
  6. Step 6: Final answer
    x = 11,939.57

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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.