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Finding the Fourth Proportional to 9,843.92, 13,579.80 and 5,863.76

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Solution

The fourth proportional to 9,843.92, 13,579.80 and 5,863.76 is: 8,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.92 : 13,579.80 = 5,863.76 : x
  2. Step 2: Convert to fraction form
    9,843.92/13,579.80 = 5,863.76/x
  3. Step 3: Cross multiply
    9,843.92x = 13,579.80 × 5,863.76
  4. Step 4: Simplify right side
    9,843.92x = 79,628,688.05
  5. Step 5: Solve for x
    x = 79,628,688.05/9,843.92
  6. Step 6: Final answer
    x = 8,089.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.