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Finding the Fourth Proportional to 11,957.70, 17,936.12 and 3,192.14

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Solution

The fourth proportional to 11,957.70, 17,936.12 and 3,192.14 is: 4,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.70 : 17,936.12 = 3,192.14 : x
  2. Step 2: Convert to fraction form
    11,957.70/17,936.12 = 3,192.14/x
  3. Step 3: Cross multiply
    11,957.70x = 17,936.12 × 3,192.14
  4. Step 4: Simplify right side
    11,957.70x = 57,254,606.10
  5. Step 5: Solve for x
    x = 57,254,606.10/11,957.70
  6. Step 6: Final answer
    x = 4,788.10

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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.