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Finding the Fourth Proportional to 11,461.80, 17,192.70 and 9,712.20

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Solution

The fourth proportional to 11,461.80, 17,192.70 and 9,712.20 is: 14,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.80 : 17,192.70 = 9,712.20 : x
  2. Step 2: Convert to fraction form
    11,461.80/17,192.70 = 9,712.20/x
  3. Step 3: Cross multiply
    11,461.80x = 17,192.70 × 9,712.20
  4. Step 4: Simplify right side
    11,461.80x = 166,978,940.94
  5. Step 5: Solve for x
    x = 166,978,940.94/11,461.80
  6. Step 6: Final answer
    x = 14,568.30

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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.