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Finding the Fourth Proportional to 4,629.76, 6,944.60 and 1,167

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Solution

The fourth proportional to 4,629.76, 6,944.60 and 1,167 is: 1,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.76 : 6,944.60 = 1,167 : x
  2. Step 2: Convert to fraction form
    4,629.76/6,944.60 = 1,167/x
  3. Step 3: Cross multiply
    4,629.76x = 6,944.60 × 1,167
  4. Step 4: Simplify right side
    4,629.76x = 8,104,348.20
  5. Step 5: Solve for x
    x = 8,104,348.20/4,629.76
  6. Step 6: Final answer
    x = 1,750.49

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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.