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Finding the Fourth Proportional to 11,107.67, 15,327.83 and 6,327

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Solution

The fourth proportional to 11,107.67, 15,327.83 and 6,327 is: 8,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.67 : 15,327.83 = 6,327 : x
  2. Step 2: Convert to fraction form
    11,107.67/15,327.83 = 6,327/x
  3. Step 3: Cross multiply
    11,107.67x = 15,327.83 × 6,327
  4. Step 4: Simplify right side
    11,107.67x = 96,979,196.23
  5. Step 5: Solve for x
    x = 96,979,196.23/11,107.67
  6. Step 6: Final answer
    x = 8,730.84

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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.