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Finding the Fourth Proportional to 4,673.70, 6,449.91 and 2,684.88

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Solution

The fourth proportional to 4,673.70, 6,449.91 and 2,684.88 is: 3,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.70 : 6,449.91 = 2,684.88 : x
  2. Step 2: Convert to fraction form
    4,673.70/6,449.91 = 2,684.88/x
  3. Step 3: Cross multiply
    4,673.70x = 6,449.91 × 2,684.88
  4. Step 4: Simplify right side
    4,673.70x = 17,317,239.39
  5. Step 5: Solve for x
    x = 17,317,239.39/4,673.70
  6. Step 6: Final answer
    x = 3,705.25

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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.