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Finding the Fourth Proportional to 22,632, 33,948.06 and 7,049.64

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Solution

The fourth proportional to 22,632, 33,948.06 and 7,049.64 is: 10,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632 : 33,948.06 = 7,049.64 : x
  2. Step 2: Convert to fraction form
    22,632/33,948.06 = 7,049.64/x
  3. Step 3: Cross multiply
    22,632x = 33,948.06 × 7,049.64
  4. Step 4: Simplify right side
    22,632x = 239,321,601.70
  5. Step 5: Solve for x
    x = 239,321,601.70/22,632
  6. Step 6: Final answer
    x = 10,574.48

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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.