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Finding the Fourth Proportional to 11,097.80, 16,644.30 and 4,857.80

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Solution

The fourth proportional to 11,097.80, 16,644.30 and 4,857.80 is: 7,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.80 : 16,644.30 = 4,857.80 : x
  2. Step 2: Convert to fraction form
    11,097.80/16,644.30 = 4,857.80/x
  3. Step 3: Cross multiply
    11,097.80x = 16,644.30 × 4,857.80
  4. Step 4: Simplify right side
    11,097.80x = 80,854,680.54
  5. Step 5: Solve for x
    x = 80,854,680.54/11,097.80
  6. Step 6: Final answer
    x = 7,285.65

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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.