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Finding the Fourth Proportional to 23,571.50, 35,349.74 and 7,773.59

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Solution

The fourth proportional to 23,571.50, 35,349.74 and 7,773.59 is: 11,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571.50 : 35,349.74 = 7,773.59 : x
  2. Step 2: Convert to fraction form
    23,571.50/35,349.74 = 7,773.59/x
  3. Step 3: Cross multiply
    23,571.50x = 35,349.74 × 7,773.59
  4. Step 4: Simplify right side
    23,571.50x = 274,794,169.75
  5. Step 5: Solve for x
    x = 274,794,169.75/23,571.50
  6. Step 6: Final answer
    x = 11,657.90

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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.