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Finding the Fourth Proportional to 8,174.96, 12,243.98 and 3,783.19

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Solution

The fourth proportional to 8,174.96, 12,243.98 and 3,783.19 is: 5,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.96 : 12,243.98 = 3,783.19 : x
  2. Step 2: Convert to fraction form
    8,174.96/12,243.98 = 3,783.19/x
  3. Step 3: Cross multiply
    8,174.96x = 12,243.98 × 3,783.19
  4. Step 4: Simplify right side
    8,174.96x = 46,321,302.70
  5. Step 5: Solve for x
    x = 46,321,302.70/8,174.96
  6. Step 6: Final answer
    x = 5,666.24

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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.