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Finding the Fourth Proportional to 8,297.51, 12,446.25 and 2,453.66

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Solution

The fourth proportional to 8,297.51, 12,446.25 and 2,453.66 is: 3,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.51 : 12,446.25 = 2,453.66 : x
  2. Step 2: Convert to fraction form
    8,297.51/12,446.25 = 2,453.66/x
  3. Step 3: Cross multiply
    8,297.51x = 12,446.25 × 2,453.66
  4. Step 4: Simplify right side
    8,297.51x = 30,538,803.54
  5. Step 5: Solve for x
    x = 30,538,803.54/8,297.51
  6. Step 6: Final answer
    x = 3,680.48

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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.