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Finding the Fourth Proportional to 6,416.25, 8,854.43 and 3,472.25

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Solution

The fourth proportional to 6,416.25, 8,854.43 and 3,472.25 is: 4,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.25 : 8,854.43 = 3,472.25 : x
  2. Step 2: Convert to fraction form
    6,416.25/8,854.43 = 3,472.25/x
  3. Step 3: Cross multiply
    6,416.25x = 8,854.43 × 3,472.25
  4. Step 4: Simplify right side
    6,416.25x = 30,744,777.21
  5. Step 5: Solve for x
    x = 30,744,777.21/6,416.25
  6. Step 6: Final answer
    x = 4,791.71

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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.