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Finding the Fourth Proportional to 11,561.84, 17,313.48 and 8,295.92

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Solution

The fourth proportional to 11,561.84, 17,313.48 and 8,295.92 is: 12,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.84 : 17,313.48 = 8,295.92 : x
  2. Step 2: Convert to fraction form
    11,561.84/17,313.48 = 8,295.92/x
  3. Step 3: Cross multiply
    11,561.84x = 17,313.48 × 8,295.92
  4. Step 4: Simplify right side
    11,561.84x = 143,631,245.00
  5. Step 5: Solve for x
    x = 143,631,245.00/11,561.84
  6. Step 6: Final answer
    x = 12,422.87

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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.