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Finding the Fourth Proportional to 7,321.60, 10,974.30 and 3,160.90

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Solution

The fourth proportional to 7,321.60, 10,974.30 and 3,160.90 is: 4,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.60 : 10,974.30 = 3,160.90 : x
  2. Step 2: Convert to fraction form
    7,321.60/10,974.30 = 3,160.90/x
  3. Step 3: Cross multiply
    7,321.60x = 10,974.30 × 3,160.90
  4. Step 4: Simplify right side
    7,321.60x = 34,688,664.87
  5. Step 5: Solve for x
    x = 34,688,664.87/7,321.60
  6. Step 6: Final answer
    x = 4,737.85

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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.