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Finding the Fourth Proportional to 9,447.66, 14,176.98 and 8,940.96

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Solution

The fourth proportional to 9,447.66, 14,176.98 and 8,940.96 is: 13,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.66 : 14,176.98 = 8,940.96 : x
  2. Step 2: Convert to fraction form
    9,447.66/14,176.98 = 8,940.96/x
  3. Step 3: Cross multiply
    9,447.66x = 14,176.98 × 8,940.96
  4. Step 4: Simplify right side
    9,447.66x = 126,755,811.10
  5. Step 5: Solve for x
    x = 126,755,811.10/9,447.66
  6. Step 6: Final answer
    x = 13,416.64

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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.