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Finding the Fourth Proportional to 10,704.76, 14,771.97 and 5,989.34

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Solution

The fourth proportional to 10,704.76, 14,771.97 and 5,989.34 is: 8,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.76 : 14,771.97 = 5,989.34 : x
  2. Step 2: Convert to fraction form
    10,704.76/14,771.97 = 5,989.34/x
  3. Step 3: Cross multiply
    10,704.76x = 14,771.97 × 5,989.34
  4. Step 4: Simplify right side
    10,704.76x = 88,474,387.73
  5. Step 5: Solve for x
    x = 88,474,387.73/10,704.76
  6. Step 6: Final answer
    x = 8,264.96

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Half scale
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Double scale
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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.