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Finding the Fourth Proportional to 11,957.94, 17,918.19 and 7,566.12

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Solution

The fourth proportional to 11,957.94, 17,918.19 and 7,566.12 is: 11,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.94 : 17,918.19 = 7,566.12 : x
  2. Step 2: Convert to fraction form
    11,957.94/17,918.19 = 7,566.12/x
  3. Step 3: Cross multiply
    11,957.94x = 17,918.19 × 7,566.12
  4. Step 4: Simplify right side
    11,957.94x = 135,571,175.72
  5. Step 5: Solve for x
    x = 135,571,175.72/11,957.94
  6. Step 6: Final answer
    x = 11,337.34

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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.