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Finding the Fourth Proportional to 11,658.40, 17,468.16 and 8,189.44

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Solution

The fourth proportional to 11,658.40, 17,468.16 and 8,189.44 is: 12,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.40 : 17,468.16 = 8,189.44 : x
  2. Step 2: Convert to fraction form
    11,658.40/17,468.16 = 8,189.44/x
  3. Step 3: Cross multiply
    11,658.40x = 17,468.16 × 8,189.44
  4. Step 4: Simplify right side
    11,658.40x = 143,054,448.23
  5. Step 5: Solve for x
    x = 143,054,448.23/11,658.40
  6. Step 6: Final answer
    x = 12,270.50

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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.