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Finding the Fourth Proportional to 4,276.50, 6,416.09 and 1,503.24

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Solution

The fourth proportional to 4,276.50, 6,416.09 and 1,503.24 is: 2,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.50 : 6,416.09 = 1,503.24 : x
  2. Step 2: Convert to fraction form
    4,276.50/6,416.09 = 1,503.24/x
  3. Step 3: Cross multiply
    4,276.50x = 6,416.09 × 1,503.24
  4. Step 4: Simplify right side
    4,276.50x = 9,644,923.13
  5. Step 5: Solve for x
    x = 9,644,923.13/4,276.50
  6. Step 6: Final answer
    x = 2,255.33

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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.