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Finding the Fourth Proportional to 6,944.60, 10,416.90 and 1,750.47

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Solution

The fourth proportional to 6,944.60, 10,416.90 and 1,750.47 is: 2,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.60 : 10,416.90 = 1,750.47 : x
  2. Step 2: Convert to fraction form
    6,944.60/10,416.90 = 1,750.47/x
  3. Step 3: Cross multiply
    6,944.60x = 10,416.90 × 1,750.47
  4. Step 4: Simplify right side
    6,944.60x = 18,234,466.57
  5. Step 5: Solve for x
    x = 18,234,466.57/6,944.60
  6. Step 6: Final answer
    x = 2,625.71

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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.