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Finding the Fourth Proportional to 9,996.87, 14,998.38 and 7,224.50

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Solution

The fourth proportional to 9,996.87, 14,998.38 and 7,224.50 is: 10,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.87 : 14,998.38 = 7,224.50 : x
  2. Step 2: Convert to fraction form
    9,996.87/14,998.38 = 7,224.50/x
  3. Step 3: Cross multiply
    9,996.87x = 14,998.38 × 7,224.50
  4. Step 4: Simplify right side
    9,996.87x = 108,355,837.96
  5. Step 5: Solve for x
    x = 108,355,837.96/9,996.87
  6. Step 6: Final answer
    x = 10,838.98

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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.