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Finding the Fourth Proportional to 11,805.76, 17,708.64 and 4,409.92

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Solution

The fourth proportional to 11,805.76, 17,708.64 and 4,409.92 is: 6,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.76 : 17,708.64 = 4,409.92 : x
  2. Step 2: Convert to fraction form
    11,805.76/17,708.64 = 4,409.92/x
  3. Step 3: Cross multiply
    11,805.76x = 17,708.64 × 4,409.92
  4. Step 4: Simplify right side
    11,805.76x = 78,093,685.71
  5. Step 5: Solve for x
    x = 78,093,685.71/11,805.76
  6. Step 6: Final answer
    x = 6,614.88

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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.