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Finding the Fourth Proportional to 11,778.64, 16,253.74 and 6,742.90

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Solution

The fourth proportional to 11,778.64, 16,253.74 and 6,742.90 is: 9,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.64 : 16,253.74 = 6,742.90 : x
  2. Step 2: Convert to fraction form
    11,778.64/16,253.74 = 6,742.90/x
  3. Step 3: Cross multiply
    11,778.64x = 16,253.74 × 6,742.90
  4. Step 4: Simplify right side
    11,778.64x = 109,597,343.45
  5. Step 5: Solve for x
    x = 109,597,343.45/11,778.64
  6. Step 6: Final answer
    x = 9,304.75

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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.