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Finding the Fourth Proportional to 12,773.26, 17,624.50 and 7,467.06

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Solution

The fourth proportional to 12,773.26, 17,624.50 and 7,467.06 is: 10,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.26 : 17,624.50 = 7,467.06 : x
  2. Step 2: Convert to fraction form
    12,773.26/17,624.50 = 7,467.06/x
  3. Step 3: Cross multiply
    12,773.26x = 17,624.50 × 7,467.06
  4. Step 4: Simplify right side
    12,773.26x = 131,603,198.97
  5. Step 5: Solve for x
    x = 131,603,198.97/12,773.26
  6. Step 6: Final answer
    x = 10,303.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.