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Finding the Fourth Proportional to 22,452.64, 33,678.92 and 6,870.28

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Solution

The fourth proportional to 22,452.64, 33,678.92 and 6,870.28 is: 10,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.64 : 33,678.92 = 6,870.28 : x
  2. Step 2: Convert to fraction form
    22,452.64/33,678.92 = 6,870.28/x
  3. Step 3: Cross multiply
    22,452.64x = 33,678.92 × 6,870.28
  4. Step 4: Simplify right side
    22,452.64x = 231,383,610.50
  5. Step 5: Solve for x
    x = 231,383,610.50/22,452.64
  6. Step 6: Final answer
    x = 10,305.41

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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.