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Finding the Fourth Proportional to 8,167.96, 12,252.24 and 5,012.74

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Solution

The fourth proportional to 8,167.96, 12,252.24 and 5,012.74 is: 7,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.96 : 12,252.24 = 5,012.74 : x
  2. Step 2: Convert to fraction form
    8,167.96/12,252.24 = 5,012.74/x
  3. Step 3: Cross multiply
    8,167.96x = 12,252.24 × 5,012.74
  4. Step 4: Simplify right side
    8,167.96x = 61,417,293.54
  5. Step 5: Solve for x
    x = 61,417,293.54/8,167.96
  6. Step 6: Final answer
    x = 7,519.29

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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.