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Finding the Fourth Proportional to 11,024, 16,532.76 and 3,230.96

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Solution

The fourth proportional to 11,024, 16,532.76 and 3,230.96 is: 4,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024 : 16,532.76 = 3,230.96 : x
  2. Step 2: Convert to fraction form
    11,024/16,532.76 = 3,230.96/x
  3. Step 3: Cross multiply
    11,024x = 16,532.76 × 3,230.96
  4. Step 4: Simplify right side
    11,024x = 53,416,686.25
  5. Step 5: Solve for x
    x = 53,416,686.25/11,024
  6. Step 6: Final answer
    x = 4,845.49

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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.