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Finding the Fourth Proportional to 5,966.71, 8,231.69 and 3,448.36

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Solution

The fourth proportional to 5,966.71, 8,231.69 and 3,448.36 is: 4,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.71 : 8,231.69 = 3,448.36 : x
  2. Step 2: Convert to fraction form
    5,966.71/8,231.69 = 3,448.36/x
  3. Step 3: Cross multiply
    5,966.71x = 8,231.69 × 3,448.36
  4. Step 4: Simplify right side
    5,966.71x = 28,385,830.53
  5. Step 5: Solve for x
    x = 28,385,830.53/5,966.71
  6. Step 6: Final answer
    x = 4,757.37

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Half scale
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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.