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Finding the Fourth Proportional to 11,704.13, 16,151.94 and 6,398.94

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Solution

The fourth proportional to 11,704.13, 16,151.94 and 6,398.94 is: 8,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.13 : 16,151.94 = 6,398.94 : x
  2. Step 2: Convert to fraction form
    11,704.13/16,151.94 = 6,398.94/x
  3. Step 3: Cross multiply
    11,704.13x = 16,151.94 × 6,398.94
  4. Step 4: Simplify right side
    11,704.13x = 103,355,294.94
  5. Step 5: Solve for x
    x = 103,355,294.94/11,704.13
  6. Step 6: Final answer
    x = 8,830.67

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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.