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Finding the Fourth Proportional to 11,604.80, 17,407.20 and 10,827.20

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Solution

The fourth proportional to 11,604.80, 17,407.20 and 10,827.20 is: 16,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.80 : 17,407.20 = 10,827.20 : x
  2. Step 2: Convert to fraction form
    11,604.80/17,407.20 = 10,827.20/x
  3. Step 3: Cross multiply
    11,604.80x = 17,407.20 × 10,827.20
  4. Step 4: Simplify right side
    11,604.80x = 188,471,235.84
  5. Step 5: Solve for x
    x = 188,471,235.84/11,604.80
  6. Step 6: Final answer
    x = 16,240.80

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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.