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Finding the Fourth Proportional to 11,801.60, 17,696.64 and 6,872.96

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Solution

The fourth proportional to 11,801.60, 17,696.64 and 6,872.96 is: 10,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.60 : 17,696.64 = 6,872.96 : x
  2. Step 2: Convert to fraction form
    11,801.60/17,696.64 = 6,872.96/x
  3. Step 3: Cross multiply
    11,801.60x = 17,696.64 × 6,872.96
  4. Step 4: Simplify right side
    11,801.60x = 121,628,298.85
  5. Step 5: Solve for x
    x = 121,628,298.85/11,801.60
  6. Step 6: Final answer
    x = 10,306.09

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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.