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Finding the Fourth Proportional to 7,697.67, 11,546.52 and 1,854.27

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Solution

The fourth proportional to 7,697.67, 11,546.52 and 1,854.27 is: 2,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.67 : 11,546.52 = 1,854.27 : x
  2. Step 2: Convert to fraction form
    7,697.67/11,546.52 = 1,854.27/x
  3. Step 3: Cross multiply
    7,697.67x = 11,546.52 × 1,854.27
  4. Step 4: Simplify right side
    7,697.67x = 21,410,365.64
  5. Step 5: Solve for x
    x = 21,410,365.64/7,697.67
  6. Step 6: Final answer
    x = 2,781.41

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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.