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Finding the Fourth Proportional to 7,846.15, 11,712.79 and 6,723.49

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Solution

The fourth proportional to 7,846.15, 11,712.79 and 6,723.49 is: 10,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.15 : 11,712.79 = 6,723.49 : x
  2. Step 2: Convert to fraction form
    7,846.15/11,712.79 = 6,723.49/x
  3. Step 3: Cross multiply
    7,846.15x = 11,712.79 × 6,723.49
  4. Step 4: Simplify right side
    7,846.15x = 78,750,826.44
  5. Step 5: Solve for x
    x = 78,750,826.44/7,846.15
  6. Step 6: Final answer
    x = 10,036.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.