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Finding the Fourth Proportional to 11,811.40, 17,711.70 and 5,234.20

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Solution

The fourth proportional to 11,811.40, 17,711.70 and 5,234.20 is: 7,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.40 : 17,711.70 = 5,234.20 : x
  2. Step 2: Convert to fraction form
    11,811.40/17,711.70 = 5,234.20/x
  3. Step 3: Cross multiply
    11,811.40x = 17,711.70 × 5,234.20
  4. Step 4: Simplify right side
    11,811.40x = 92,706,580.14
  5. Step 5: Solve for x
    x = 92,706,580.14/11,811.40
  6. Step 6: Final answer
    x = 7,848.91

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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.