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Finding the Fourth Proportional to 11,097.84, 16,647.84 and 3,200.80

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Solution

The fourth proportional to 11,097.84, 16,647.84 and 3,200.80 is: 4,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.84 : 16,647.84 = 3,200.80 : x
  2. Step 2: Convert to fraction form
    11,097.84/16,647.84 = 3,200.80/x
  3. Step 3: Cross multiply
    11,097.84x = 16,647.84 × 3,200.80
  4. Step 4: Simplify right side
    11,097.84x = 53,286,406.27
  5. Step 5: Solve for x
    x = 53,286,406.27/11,097.84
  6. Step 6: Final answer
    x = 4,801.51

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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.