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Finding the Fourth Proportional to 12,296.74, 18,447.84 and 3,530.98

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Solution

The fourth proportional to 12,296.74, 18,447.84 and 3,530.98 is: 5,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.74 : 18,447.84 = 3,530.98 : x
  2. Step 2: Convert to fraction form
    12,296.74/18,447.84 = 3,530.98/x
  3. Step 3: Cross multiply
    12,296.74x = 18,447.84 × 3,530.98
  4. Step 4: Simplify right side
    12,296.74x = 65,138,954.08
  5. Step 5: Solve for x
    x = 65,138,954.08/12,296.74
  6. Step 6: Final answer
    x = 5,297.25

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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.