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Finding the Fourth Proportional to 7,990.65, 11,980.13 and 3,827.07

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Solution

The fourth proportional to 7,990.65, 11,980.13 and 3,827.07 is: 5,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990.65 : 11,980.13 = 3,827.07 : x
  2. Step 2: Convert to fraction form
    7,990.65/11,980.13 = 3,827.07/x
  3. Step 3: Cross multiply
    7,990.65x = 11,980.13 × 3,827.07
  4. Step 4: Simplify right side
    7,990.65x = 45,848,776.98
  5. Step 5: Solve for x
    x = 45,848,776.98/7,990.65
  6. Step 6: Final answer
    x = 5,737.80

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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.