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Finding the Fourth Proportional to 8,171.80, 12,248.10 and 3,779.98

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Solution

The fourth proportional to 8,171.80, 12,248.10 and 3,779.98 is: 5,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.80 : 12,248.10 = 3,779.98 : x
  2. Step 2: Convert to fraction form
    8,171.80/12,248.10 = 3,779.98/x
  3. Step 3: Cross multiply
    8,171.80x = 12,248.10 × 3,779.98
  4. Step 4: Simplify right side
    8,171.80x = 46,297,573.04
  5. Step 5: Solve for x
    x = 46,297,573.04/8,171.80
  6. Step 6: Final answer
    x = 5,665.53

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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.