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Finding the Fourth Proportional to 19,783.62, 29,675.49 and 8,094.78

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Solution

The fourth proportional to 19,783.62, 29,675.49 and 8,094.78 is: 12,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.62 : 29,675.49 = 8,094.78 : x
  2. Step 2: Convert to fraction form
    19,783.62/29,675.49 = 8,094.78/x
  3. Step 3: Cross multiply
    19,783.62x = 29,675.49 × 8,094.78
  4. Step 4: Simplify right side
    19,783.62x = 240,216,562.94
  5. Step 5: Solve for x
    x = 240,216,562.94/19,783.62
  6. Step 6: Final answer
    x = 12,142.19

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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.