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Finding the Fourth Proportional to 11,967.16, 17,935.11 and 7,462.36

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Solution

The fourth proportional to 11,967.16, 17,935.11 and 7,462.36 is: 11,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.16 : 17,935.11 = 7,462.36 : x
  2. Step 2: Convert to fraction form
    11,967.16/17,935.11 = 7,462.36/x
  3. Step 3: Cross multiply
    11,967.16x = 17,935.11 × 7,462.36
  4. Step 4: Simplify right side
    11,967.16x = 133,838,247.46
  5. Step 5: Solve for x
    x = 133,838,247.46/11,967.16
  6. Step 6: Final answer
    x = 11,183.79

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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.