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Finding the Fourth Proportional to 6,811.82, 9,404.24 and 4,458.05

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Solution

The fourth proportional to 6,811.82, 9,404.24 and 4,458.05 is: 6,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.82 : 9,404.24 = 4,458.05 : x
  2. Step 2: Convert to fraction form
    6,811.82/9,404.24 = 4,458.05/x
  3. Step 3: Cross multiply
    6,811.82x = 9,404.24 × 4,458.05
  4. Step 4: Simplify right side
    6,811.82x = 41,924,572.13
  5. Step 5: Solve for x
    x = 41,924,572.13/6,811.82
  6. Step 6: Final answer
    x = 6,154.68

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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.