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Finding the Fourth Proportional to 7,296.96, 10,945.44 and 1,824.96

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Solution

The fourth proportional to 7,296.96, 10,945.44 and 1,824.96 is: 2,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.96 : 10,945.44 = 1,824.96 : x
  2. Step 2: Convert to fraction form
    7,296.96/10,945.44 = 1,824.96/x
  3. Step 3: Cross multiply
    7,296.96x = 10,945.44 × 1,824.96
  4. Step 4: Simplify right side
    7,296.96x = 19,974,990.18
  5. Step 5: Solve for x
    x = 19,974,990.18/7,296.96
  6. Step 6: Final answer
    x = 2,737.44

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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.