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Finding the Fourth Proportional to 11,756.32, 16,223.83 and 6,451.32

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Solution

The fourth proportional to 11,756.32, 16,223.83 and 6,451.32 is: 8,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.32 : 16,223.83 = 6,451.32 : x
  2. Step 2: Convert to fraction form
    11,756.32/16,223.83 = 6,451.32/x
  3. Step 3: Cross multiply
    11,756.32x = 16,223.83 × 6,451.32
  4. Step 4: Simplify right side
    11,756.32x = 104,665,163.67
  5. Step 5: Solve for x
    x = 104,665,163.67/11,756.32
  6. Step 6: Final answer
    x = 8,902.89

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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.