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Finding the Fourth Proportional to 22,572.50, 33,858.76 and 6,156.50

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Solution

The fourth proportional to 22,572.50, 33,858.76 and 6,156.50 is: 9,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572.50 : 33,858.76 = 6,156.50 : x
  2. Step 2: Convert to fraction form
    22,572.50/33,858.76 = 6,156.50/x
  3. Step 3: Cross multiply
    22,572.50x = 33,858.76 × 6,156.50
  4. Step 4: Simplify right side
    22,572.50x = 208,451,455.94
  5. Step 5: Solve for x
    x = 208,451,455.94/22,572.50
  6. Step 6: Final answer
    x = 9,234.75

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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.