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Finding the Fourth Proportional to 11,397.84, 17,096.76 and 3,189.84

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Solution

The fourth proportional to 11,397.84, 17,096.76 and 3,189.84 is: 4,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.84 : 17,096.76 = 3,189.84 : x
  2. Step 2: Convert to fraction form
    11,397.84/17,096.76 = 3,189.84/x
  3. Step 3: Cross multiply
    11,397.84x = 17,096.76 × 3,189.84
  4. Step 4: Simplify right side
    11,397.84x = 54,535,928.92
  5. Step 5: Solve for x
    x = 54,535,928.92/11,397.84
  6. Step 6: Final answer
    x = 4,784.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.