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Finding the Fourth Proportional to 9,305.24, 13,941.61 and 7,755.21

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Solution

The fourth proportional to 9,305.24, 13,941.61 and 7,755.21 is: 11,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.24 : 13,941.61 = 7,755.21 : x
  2. Step 2: Convert to fraction form
    9,305.24/13,941.61 = 7,755.21/x
  3. Step 3: Cross multiply
    9,305.24x = 13,941.61 × 7,755.21
  4. Step 4: Simplify right side
    9,305.24x = 108,120,093.90
  5. Step 5: Solve for x
    x = 108,120,093.90/9,305.24
  6. Step 6: Final answer
    x = 11,619.28

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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.