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Finding the Fourth Proportional to 7,996.50, 11,946.24 and 6,684.30

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Solution

The fourth proportional to 7,996.50, 11,946.24 and 6,684.30 is: 9,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.50 : 11,946.24 = 6,684.30 : x
  2. Step 2: Convert to fraction form
    7,996.50/11,946.24 = 6,684.30/x
  3. Step 3: Cross multiply
    7,996.50x = 11,946.24 × 6,684.30
  4. Step 4: Simplify right side
    7,996.50x = 79,852,252.03
  5. Step 5: Solve for x
    x = 79,852,252.03/7,996.50
  6. Step 6: Final answer
    x = 9,985.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.