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Finding the Fourth Proportional to 4,900.92, 6,764.70 and 2,987.43

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Solution

The fourth proportional to 4,900.92, 6,764.70 and 2,987.43 is: 4,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.92 : 6,764.70 = 2,987.43 : x
  2. Step 2: Convert to fraction form
    4,900.92/6,764.70 = 2,987.43/x
  3. Step 3: Cross multiply
    4,900.92x = 6,764.70 × 2,987.43
  4. Step 4: Simplify right side
    4,900.92x = 20,209,067.72
  5. Step 5: Solve for x
    x = 20,209,067.72/4,900.92
  6. Step 6: Final answer
    x = 4,123.53

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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.