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Finding the Fourth Proportional to 7,999.65, 11,998.53 and 2,156.72

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Solution

The fourth proportional to 7,999.65, 11,998.53 and 2,156.72 is: 3,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.65 : 11,998.53 = 2,156.72 : x
  2. Step 2: Convert to fraction form
    7,999.65/11,998.53 = 2,156.72/x
  3. Step 3: Cross multiply
    7,999.65x = 11,998.53 × 2,156.72
  4. Step 4: Simplify right side
    7,999.65x = 25,877,409.63
  5. Step 5: Solve for x
    x = 25,877,409.63/7,999.65
  6. Step 6: Final answer
    x = 3,234.82

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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.