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Finding the Fourth Proportional to 5,946.66, 8,206.16 and 3,257.82

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Solution

The fourth proportional to 5,946.66, 8,206.16 and 3,257.82 is: 4,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.66 : 8,206.16 = 3,257.82 : x
  2. Step 2: Convert to fraction form
    5,946.66/8,206.16 = 3,257.82/x
  3. Step 3: Cross multiply
    5,946.66x = 8,206.16 × 3,257.82
  4. Step 4: Simplify right side
    5,946.66x = 26,734,175.88
  5. Step 5: Solve for x
    x = 26,734,175.88/5,946.66
  6. Step 6: Final answer
    x = 4,495.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.