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Finding the Fourth Proportional to 4,705.62, 6,493.14 and 2,938.20

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Solution

The fourth proportional to 4,705.62, 6,493.14 and 2,938.20 is: 4,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.62 : 6,493.14 = 2,938.20 : x
  2. Step 2: Convert to fraction form
    4,705.62/6,493.14 = 2,938.20/x
  3. Step 3: Cross multiply
    4,705.62x = 6,493.14 × 2,938.20
  4. Step 4: Simplify right side
    4,705.62x = 19,078,143.95
  5. Step 5: Solve for x
    x = 19,078,143.95/4,705.62
  6. Step 6: Final answer
    x = 4,054.33

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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.