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Finding the Fourth Proportional to 6,314.41, 9,473.74 and 3,971.66

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Solution

The fourth proportional to 6,314.41, 9,473.74 and 3,971.66 is: 5,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.41 : 9,473.74 = 3,971.66 : x
  2. Step 2: Convert to fraction form
    6,314.41/9,473.74 = 3,971.66/x
  3. Step 3: Cross multiply
    6,314.41x = 9,473.74 × 3,971.66
  4. Step 4: Simplify right side
    6,314.41x = 37,626,416.91
  5. Step 5: Solve for x
    x = 37,626,416.91/6,314.41
  6. Step 6: Final answer
    x = 5,958.82

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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.