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Finding the Fourth Proportional to 5,409.64, 8,114.46 and 1,946.80

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Solution

The fourth proportional to 5,409.64, 8,114.46 and 1,946.80 is: 2,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.64 : 8,114.46 = 1,946.80 : x
  2. Step 2: Convert to fraction form
    5,409.64/8,114.46 = 1,946.80/x
  3. Step 3: Cross multiply
    5,409.64x = 8,114.46 × 1,946.80
  4. Step 4: Simplify right side
    5,409.64x = 15,797,230.73
  5. Step 5: Solve for x
    x = 15,797,230.73/5,409.64
  6. Step 6: Final answer
    x = 2,920.20

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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.