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Finding the Fourth Proportional to 9,314.67, 12,854.10 and 6,176.73

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Solution

The fourth proportional to 9,314.67, 12,854.10 and 6,176.73 is: 8,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.67 : 12,854.10 = 6,176.73 : x
  2. Step 2: Convert to fraction form
    9,314.67/12,854.10 = 6,176.73/x
  3. Step 3: Cross multiply
    9,314.67x = 12,854.10 × 6,176.73
  4. Step 4: Simplify right side
    9,314.67x = 79,396,305.09
  5. Step 5: Solve for x
    x = 79,396,305.09/9,314.67
  6. Step 6: Final answer
    x = 8,523.79

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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.