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Finding the Fourth Proportional to 8,297.45, 12,446.15 and 2,454.51

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Solution

The fourth proportional to 8,297.45, 12,446.15 and 2,454.51 is: 3,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.45 : 12,446.15 = 2,454.51 : x
  2. Step 2: Convert to fraction form
    8,297.45/12,446.15 = 2,454.51/x
  3. Step 3: Cross multiply
    8,297.45x = 12,446.15 × 2,454.51
  4. Step 4: Simplify right side
    8,297.45x = 30,549,187.36
  5. Step 5: Solve for x
    x = 30,549,187.36/8,297.45
  6. Step 6: Final answer
    x = 3,681.76

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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.