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Finding the Fourth Proportional to 9,225.63, 12,731.49 and 5,449.77

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Solution

The fourth proportional to 9,225.63, 12,731.49 and 5,449.77 is: 7,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.63 : 12,731.49 = 5,449.77 : x
  2. Step 2: Convert to fraction form
    9,225.63/12,731.49 = 5,449.77/x
  3. Step 3: Cross multiply
    9,225.63x = 12,731.49 × 5,449.77
  4. Step 4: Simplify right side
    9,225.63x = 69,383,692.26
  5. Step 5: Solve for x
    x = 69,383,692.26/9,225.63
  6. Step 6: Final answer
    x = 7,520.75

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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.