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Finding the Fourth Proportional to 22,505.32, 33,758.06 and 6,922.84

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Solution

The fourth proportional to 22,505.32, 33,758.06 and 6,922.84 is: 10,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.32 : 33,758.06 = 6,922.84 : x
  2. Step 2: Convert to fraction form
    22,505.32/33,758.06 = 6,922.84/x
  3. Step 3: Cross multiply
    22,505.32x = 33,758.06 × 6,922.84
  4. Step 4: Simplify right side
    22,505.32x = 233,701,648.09
  5. Step 5: Solve for x
    x = 233,701,648.09/22,505.32
  6. Step 6: Final answer
    x = 10,384.28

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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.