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Finding the Fourth Proportional to 22,505.50, 33,758.31 and 6,089.50

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Solution

The fourth proportional to 22,505.50, 33,758.31 and 6,089.50 is: 9,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.50 : 33,758.31 = 6,089.50 : x
  2. Step 2: Convert to fraction form
    22,505.50/33,758.31 = 6,089.50/x
  3. Step 3: Cross multiply
    22,505.50x = 33,758.31 × 6,089.50
  4. Step 4: Simplify right side
    22,505.50x = 205,571,228.75
  5. Step 5: Solve for x
    x = 205,571,228.75/22,505.50
  6. Step 6: Final answer
    x = 9,134.27

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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.