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Finding the Fourth Proportional to 4,981.42, 7,469.97 and 1,693.63

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Solution

The fourth proportional to 4,981.42, 7,469.97 and 1,693.63 is: 2,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.42 : 7,469.97 = 1,693.63 : x
  2. Step 2: Convert to fraction form
    4,981.42/7,469.97 = 1,693.63/x
  3. Step 3: Cross multiply
    4,981.42x = 7,469.97 × 1,693.63
  4. Step 4: Simplify right side
    4,981.42x = 12,651,365.29
  5. Step 5: Solve for x
    x = 12,651,365.29/4,981.42
  6. Step 6: Final answer
    x = 2,539.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.