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Finding the Fourth Proportional to 6,849.89, 9,449.60 and 4,458.99

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Solution

The fourth proportional to 6,849.89, 9,449.60 and 4,458.99 is: 6,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.89 : 9,449.60 = 4,458.99 : x
  2. Step 2: Convert to fraction form
    6,849.89/9,449.60 = 4,458.99/x
  3. Step 3: Cross multiply
    6,849.89x = 9,449.60 × 4,458.99
  4. Step 4: Simplify right side
    6,849.89x = 42,135,671.90
  5. Step 5: Solve for x
    x = 42,135,671.90/6,849.89
  6. Step 6: Final answer
    x = 6,151.29

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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.