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Finding the Fourth Proportional to 8,167.60, 12,257.80 and 3,785.60

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Solution

The fourth proportional to 8,167.60, 12,257.80 and 3,785.60 is: 5,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.60 : 12,257.80 = 3,785.60 : x
  2. Step 2: Convert to fraction form
    8,167.60/12,257.80 = 3,785.60/x
  3. Step 3: Cross multiply
    8,167.60x = 12,257.80 × 3,785.60
  4. Step 4: Simplify right side
    8,167.60x = 46,403,127.68
  5. Step 5: Solve for x
    x = 46,403,127.68/8,167.60
  6. Step 6: Final answer
    x = 5,681.37

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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.