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Finding the Fourth Proportional to 4,705.73, 6,493.97 and 2,938.36

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Solution

The fourth proportional to 4,705.73, 6,493.97 and 2,938.36 is: 4,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.73 : 6,493.97 = 2,938.36 : x
  2. Step 2: Convert to fraction form
    4,705.73/6,493.97 = 2,938.36/x
  3. Step 3: Cross multiply
    4,705.73x = 6,493.97 × 2,938.36
  4. Step 4: Simplify right side
    4,705.73x = 19,081,633.78
  5. Step 5: Solve for x
    x = 19,081,633.78/4,705.73
  6. Step 6: Final answer
    x = 4,054.98

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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.