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Finding the Fourth Proportional to 11,658.66, 17,575.86 and 10,906.98

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Solution

The fourth proportional to 11,658.66, 17,575.86 and 10,906.98 is: 16,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.66 : 17,575.86 = 10,906.98 : x
  2. Step 2: Convert to fraction form
    11,658.66/17,575.86 = 10,906.98/x
  3. Step 3: Cross multiply
    11,658.66x = 17,575.86 × 10,906.98
  4. Step 4: Simplify right side
    11,658.66x = 191,699,553.50
  5. Step 5: Solve for x
    x = 191,699,553.50/11,658.66
  6. Step 6: Final answer
    x = 16,442.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.