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Finding the Fourth Proportional to 7,997.51, 11,994.90 and 2,152.82

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Solution

The fourth proportional to 7,997.51, 11,994.90 and 2,152.82 is: 3,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.51 : 11,994.90 = 2,152.82 : x
  2. Step 2: Convert to fraction form
    7,997.51/11,994.90 = 2,152.82/x
  3. Step 3: Cross multiply
    7,997.51x = 11,994.90 × 2,152.82
  4. Step 4: Simplify right side
    7,997.51x = 25,822,800.64
  5. Step 5: Solve for x
    x = 25,822,800.64/7,997.51
  6. Step 6: Final answer
    x = 3,228.86

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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.