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Finding the Fourth Proportional to 9,269.88, 12,782.25 and 5,908.92

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Solution

The fourth proportional to 9,269.88, 12,782.25 and 5,908.92 is: 8,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.88 : 12,782.25 = 5,908.92 : x
  2. Step 2: Convert to fraction form
    9,269.88/12,782.25 = 5,908.92/x
  3. Step 3: Cross multiply
    9,269.88x = 12,782.25 × 5,908.92
  4. Step 4: Simplify right side
    9,269.88x = 75,529,292.67
  5. Step 5: Solve for x
    x = 75,529,292.67/9,269.88
  6. Step 6: Final answer
    x = 8,147.82

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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.