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Finding the Fourth Proportional to 11,595, 15,994.02 and 6,876.12

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Solution

The fourth proportional to 11,595, 15,994.02 and 6,876.12 is: 9,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595 : 15,994.02 = 6,876.12 : x
  2. Step 2: Convert to fraction form
    11,595/15,994.02 = 6,876.12/x
  3. Step 3: Cross multiply
    11,595x = 15,994.02 × 6,876.12
  4. Step 4: Simplify right side
    11,595x = 109,976,800.80
  5. Step 5: Solve for x
    x = 109,976,800.80/11,595
  6. Step 6: Final answer
    x = 9,484.85

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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.