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Finding the Fourth Proportional to 8,225, 11,350.66 and 4,499.08

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Solution

The fourth proportional to 8,225, 11,350.66 and 4,499.08 is: 6,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225 : 11,350.66 = 4,499.08 : x
  2. Step 2: Convert to fraction form
    8,225/11,350.66 = 4,499.08/x
  3. Step 3: Cross multiply
    8,225x = 11,350.66 × 4,499.08
  4. Step 4: Simplify right side
    8,225x = 51,067,527.39
  5. Step 5: Solve for x
    x = 51,067,527.39/8,225
  6. Step 6: Final answer
    x = 6,208.82

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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.