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Finding the Fourth Proportional to 4,993.63, 7,490.57 and 1,530.88

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Solution

The fourth proportional to 4,993.63, 7,490.57 and 1,530.88 is: 2,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.63 : 7,490.57 = 1,530.88 : x
  2. Step 2: Convert to fraction form
    4,993.63/7,490.57 = 1,530.88/x
  3. Step 3: Cross multiply
    4,993.63x = 7,490.57 × 1,530.88
  4. Step 4: Simplify right side
    4,993.63x = 11,467,163.80
  5. Step 5: Solve for x
    x = 11,467,163.80/4,993.63
  6. Step 6: Final answer
    x = 2,296.36

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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.