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Finding the Fourth Proportional to 11,914.52, 17,847.95 and 7,168.06

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Solution

The fourth proportional to 11,914.52, 17,847.95 and 7,168.06 is: 10,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.52 : 17,847.95 = 7,168.06 : x
  2. Step 2: Convert to fraction form
    11,914.52/17,847.95 = 7,168.06/x
  3. Step 3: Cross multiply
    11,914.52x = 17,847.95 × 7,168.06
  4. Step 4: Simplify right side
    11,914.52x = 127,935,176.48
  5. Step 5: Solve for x
    x = 127,935,176.48/11,914.52
  6. Step 6: Final answer
    x = 10,737.75

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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.