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Finding the Fourth Proportional to 7,323.20, 10,972.20 and 3,419.60

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Solution

The fourth proportional to 7,323.20, 10,972.20 and 3,419.60 is: 5,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.20 : 10,972.20 = 3,419.60 : x
  2. Step 2: Convert to fraction form
    7,323.20/10,972.20 = 3,419.60/x
  3. Step 3: Cross multiply
    7,323.20x = 10,972.20 × 3,419.60
  4. Step 4: Simplify right side
    7,323.20x = 37,520,535.12
  5. Step 5: Solve for x
    x = 37,520,535.12/7,323.20
  6. Step 6: Final answer
    x = 5,123.52

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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.