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Finding the Fourth Proportional to 11,774.60, 16,248.92 and 6,738.84

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Solution

The fourth proportional to 11,774.60, 16,248.92 and 6,738.84 is: 9,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.60 : 16,248.92 = 6,738.84 : x
  2. Step 2: Convert to fraction form
    11,774.60/16,248.92 = 6,738.84/x
  3. Step 3: Cross multiply
    11,774.60x = 16,248.92 × 6,738.84
  4. Step 4: Simplify right side
    11,774.60x = 109,498,872.05
  5. Step 5: Solve for x
    x = 109,498,872.05/11,774.60
  6. Step 6: Final answer
    x = 9,299.58

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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.