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Finding the Fourth Proportional to 6,467.61, 9,706.25 and 2,519.49

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Solution

The fourth proportional to 6,467.61, 9,706.25 and 2,519.49 is: 3,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.61 : 9,706.25 = 2,519.49 : x
  2. Step 2: Convert to fraction form
    6,467.61/9,706.25 = 2,519.49/x
  3. Step 3: Cross multiply
    6,467.61x = 9,706.25 × 2,519.49
  4. Step 4: Simplify right side
    6,467.61x = 24,454,799.81
  5. Step 5: Solve for x
    x = 24,454,799.81/6,467.61
  6. Step 6: Final answer
    x = 3,781.12

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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.