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Finding the Fourth Proportional to 22,505.69, 33,747.21 and 7,507.50

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Solution

The fourth proportional to 22,505.69, 33,747.21 and 7,507.50 is: 11,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.69 : 33,747.21 = 7,507.50 : x
  2. Step 2: Convert to fraction form
    22,505.69/33,747.21 = 7,507.50/x
  3. Step 3: Cross multiply
    22,505.69x = 33,747.21 × 7,507.50
  4. Step 4: Simplify right side
    22,505.69x = 253,357,179.08
  5. Step 5: Solve for x
    x = 253,357,179.08/22,505.69
  6. Step 6: Final answer
    x = 11,257.47

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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.