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Finding the Fourth Proportional to 8,411.74, 12,617.64 and 3,789.34

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Solution

The fourth proportional to 8,411.74, 12,617.64 and 3,789.34 is: 5,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.74 : 12,617.64 = 3,789.34 : x
  2. Step 2: Convert to fraction form
    8,411.74/12,617.64 = 3,789.34/x
  3. Step 3: Cross multiply
    8,411.74x = 12,617.64 × 3,789.34
  4. Step 4: Simplify right side
    8,411.74x = 47,812,527.96
  5. Step 5: Solve for x
    x = 47,812,527.96/8,411.74
  6. Step 6: Final answer
    x = 5,684.02

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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.