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Finding the Fourth Proportional to 8,409.70, 12,614.55 and 3,473.92

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Solution

The fourth proportional to 8,409.70, 12,614.55 and 3,473.92 is: 5,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.70 : 12,614.55 = 3,473.92 : x
  2. Step 2: Convert to fraction form
    8,409.70/12,614.55 = 3,473.92/x
  3. Step 3: Cross multiply
    8,409.70x = 12,614.55 × 3,473.92
  4. Step 4: Simplify right side
    8,409.70x = 43,821,874.46
  5. Step 5: Solve for x
    x = 43,821,874.46/8,409.70
  6. Step 6: Final answer
    x = 5,210.87

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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.