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Finding the Fourth Proportional to 7,837.92, 11,754.72 and 5,628.24

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Solution

The fourth proportional to 7,837.92, 11,754.72 and 5,628.24 is: 8,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.92 : 11,754.72 = 5,628.24 : x
  2. Step 2: Convert to fraction form
    7,837.92/11,754.72 = 5,628.24/x
  3. Step 3: Cross multiply
    7,837.92x = 11,754.72 × 5,628.24
  4. Step 4: Simplify right side
    7,837.92x = 66,158,385.29
  5. Step 5: Solve for x
    x = 66,158,385.29/7,837.92
  6. Step 6: Final answer
    x = 8,440.81

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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.