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Finding the Fourth Proportional to 8,199.65, 12,305.75 and 6,014.07

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Solution

The fourth proportional to 8,199.65, 12,305.75 and 6,014.07 is: 9,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.65 : 12,305.75 = 6,014.07 : x
  2. Step 2: Convert to fraction form
    8,199.65/12,305.75 = 6,014.07/x
  3. Step 3: Cross multiply
    8,199.65x = 12,305.75 × 6,014.07
  4. Step 4: Simplify right side
    8,199.65x = 74,007,611.83
  5. Step 5: Solve for x
    x = 74,007,611.83/8,199.65
  6. Step 6: Final answer
    x = 9,025.71

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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.