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Finding the Fourth Proportional to 11,217, 16,792.86 and 6,522.67

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Solution

The fourth proportional to 11,217, 16,792.86 and 6,522.67 is: 9,765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217 : 16,792.86 = 6,522.67 : x
  2. Step 2: Convert to fraction form
    11,217/16,792.86 = 6,522.67/x
  3. Step 3: Cross multiply
    11,217x = 16,792.86 × 6,522.67
  4. Step 4: Simplify right side
    11,217x = 109,534,284.14
  5. Step 5: Solve for x
    x = 109,534,284.14/11,217
  6. Step 6: Final answer
    x = 9,765.02

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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.