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Finding the Fourth Proportional to 9,636.80, 14,423.20 and 6,996.80

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Solution

The fourth proportional to 9,636.80, 14,423.20 and 6,996.80 is: 10,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.80 : 14,423.20 = 6,996.80 : x
  2. Step 2: Convert to fraction form
    9,636.80/14,423.20 = 6,996.80/x
  3. Step 3: Cross multiply
    9,636.80x = 14,423.20 × 6,996.80
  4. Step 4: Simplify right side
    9,636.80x = 100,916,245.76
  5. Step 5: Solve for x
    x = 100,916,245.76/9,636.80
  6. Step 6: Final answer
    x = 10,471.97

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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.