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Finding the Fourth Proportional to 8,574.60, 12,863.10 and 3,644.20

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Solution

The fourth proportional to 8,574.60, 12,863.10 and 3,644.20 is: 5,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.60 : 12,863.10 = 3,644.20 : x
  2. Step 2: Convert to fraction form
    8,574.60/12,863.10 = 3,644.20/x
  3. Step 3: Cross multiply
    8,574.60x = 12,863.10 × 3,644.20
  4. Step 4: Simplify right side
    8,574.60x = 46,875,709.02
  5. Step 5: Solve for x
    x = 46,875,709.02/8,574.60
  6. Step 6: Final answer
    x = 5,466.81

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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.