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Finding the Fourth Proportional to 11,872.46, 16,383.46 and 6,494.77

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Solution

The fourth proportional to 11,872.46, 16,383.46 and 6,494.77 is: 8,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.46 : 16,383.46 = 6,494.77 : x
  2. Step 2: Convert to fraction form
    11,872.46/16,383.46 = 6,494.77/x
  3. Step 3: Cross multiply
    11,872.46x = 16,383.46 × 6,494.77
  4. Step 4: Simplify right side
    11,872.46x = 106,406,804.50
  5. Step 5: Solve for x
    x = 106,406,804.50/11,872.46
  6. Step 6: Final answer
    x = 8,962.49

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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.