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Finding the Fourth Proportional to 11,774.70, 16,249.44 and 6,469.50

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Solution

The fourth proportional to 11,774.70, 16,249.44 and 6,469.50 is: 8,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.70 : 16,249.44 = 6,469.50 : x
  2. Step 2: Convert to fraction form
    11,774.70/16,249.44 = 6,469.50/x
  3. Step 3: Cross multiply
    11,774.70x = 16,249.44 × 6,469.50
  4. Step 4: Simplify right side
    11,774.70x = 105,125,752.08
  5. Step 5: Solve for x
    x = 105,125,752.08/11,774.70
  6. Step 6: Final answer
    x = 8,928.10

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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.