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Finding the Fourth Proportional to 11,468.65, 17,206.05 and 9,137.44

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Solution

The fourth proportional to 11,468.65, 17,206.05 and 9,137.44 is: 13,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.65 : 17,206.05 = 9,137.44 : x
  2. Step 2: Convert to fraction form
    11,468.65/17,206.05 = 9,137.44/x
  3. Step 3: Cross multiply
    11,468.65x = 17,206.05 × 9,137.44
  4. Step 4: Simplify right side
    11,468.65x = 157,219,249.51
  5. Step 5: Solve for x
    x = 157,219,249.51/11,468.65
  6. Step 6: Final answer
    x = 13,708.61

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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.