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Finding the Fourth Proportional to 6,404.73, 9,594.27 and 5,090.64

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Solution

The fourth proportional to 6,404.73, 9,594.27 and 5,090.64 is: 7,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.73 : 9,594.27 = 5,090.64 : x
  2. Step 2: Convert to fraction form
    6,404.73/9,594.27 = 5,090.64/x
  3. Step 3: Cross multiply
    6,404.73x = 9,594.27 × 5,090.64
  4. Step 4: Simplify right side
    6,404.73x = 48,840,974.63
  5. Step 5: Solve for x
    x = 48,840,974.63/6,404.73
  6. Step 6: Final answer
    x = 7,625.77

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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.