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Finding the Fourth Proportional to 6,416.31, 8,854.41 and 3,583.73

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Solution

The fourth proportional to 6,416.31, 8,854.41 and 3,583.73 is: 4,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.31 : 8,854.41 = 3,583.73 : x
  2. Step 2: Convert to fraction form
    6,416.31/8,854.41 = 3,583.73/x
  3. Step 3: Cross multiply
    6,416.31x = 8,854.41 × 3,583.73
  4. Step 4: Simplify right side
    6,416.31x = 31,731,814.75
  5. Step 5: Solve for x
    x = 31,731,814.75/6,416.31
  6. Step 6: Final answer
    x = 4,945.49

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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.