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Finding the Fourth Proportional to 23,771.72, 35,657.54 and 9,738.30

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Solution

The fourth proportional to 23,771.72, 35,657.54 and 9,738.30 is: 14,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.72 : 35,657.54 = 9,738.30 : x
  2. Step 2: Convert to fraction form
    23,771.72/35,657.54 = 9,738.30/x
  3. Step 3: Cross multiply
    23,771.72x = 35,657.54 × 9,738.30
  4. Step 4: Simplify right side
    23,771.72x = 347,243,821.78
  5. Step 5: Solve for x
    x = 347,243,821.78/23,771.72
  6. Step 6: Final answer
    x = 14,607.43

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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.