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Finding the Fourth Proportional to 9,224.70, 13,832.16 and 4,024.50

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Solution

The fourth proportional to 9,224.70, 13,832.16 and 4,024.50 is: 6,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.70 : 13,832.16 = 4,024.50 : x
  2. Step 2: Convert to fraction form
    9,224.70/13,832.16 = 4,024.50/x
  3. Step 3: Cross multiply
    9,224.70x = 13,832.16 × 4,024.50
  4. Step 4: Simplify right side
    9,224.70x = 55,667,527.92
  5. Step 5: Solve for x
    x = 55,667,527.92/9,224.70
  6. Step 6: Final answer
    x = 6,034.62

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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.