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Finding the Fourth Proportional to 6,143.80, 8,478.60 and 3,786.40

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Solution

The fourth proportional to 6,143.80, 8,478.60 and 3,786.40 is: 5,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.80 : 8,478.60 = 3,786.40 : x
  2. Step 2: Convert to fraction form
    6,143.80/8,478.60 = 3,786.40/x
  3. Step 3: Cross multiply
    6,143.80x = 8,478.60 × 3,786.40
  4. Step 4: Simplify right side
    6,143.80x = 32,103,371.04
  5. Step 5: Solve for x
    x = 32,103,371.04/6,143.80
  6. Step 6: Final answer
    x = 5,225.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.