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Finding the Fourth Proportional to 8,409.94, 11,593.59 and 5,884.22

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Solution

The fourth proportional to 8,409.94, 11,593.59 and 5,884.22 is: 8,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.94 : 11,593.59 = 5,884.22 : x
  2. Step 2: Convert to fraction form
    8,409.94/11,593.59 = 5,884.22/x
  3. Step 3: Cross multiply
    8,409.94x = 11,593.59 × 5,884.22
  4. Step 4: Simplify right side
    8,409.94x = 68,219,234.15
  5. Step 5: Solve for x
    x = 68,219,234.15/8,409.94
  6. Step 6: Final answer
    x = 8,111.74

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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.