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Finding the Fourth Proportional to 9,766.08, 14,605.92 and 8,677.44

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Solution

The fourth proportional to 9,766.08, 14,605.92 and 8,677.44 is: 12,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.08 : 14,605.92 = 8,677.44 : x
  2. Step 2: Convert to fraction form
    9,766.08/14,605.92 = 8,677.44/x
  3. Step 3: Cross multiply
    9,766.08x = 14,605.92 × 8,677.44
  4. Step 4: Simplify right side
    9,766.08x = 126,741,994.44
  5. Step 5: Solve for x
    x = 126,741,994.44/9,766.08
  6. Step 6: Final answer
    x = 12,977.78

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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.