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Finding the Fourth Proportional to 19,783.20, 29,674.80 and 9,415.20

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Solution

The fourth proportional to 19,783.20, 29,674.80 and 9,415.20 is: 14,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.20 : 29,674.80 = 9,415.20 : x
  2. Step 2: Convert to fraction form
    19,783.20/29,674.80 = 9,415.20/x
  3. Step 3: Cross multiply
    19,783.20x = 29,674.80 × 9,415.20
  4. Step 4: Simplify right side
    19,783.20x = 279,394,176.96
  5. Step 5: Solve for x
    x = 279,394,176.96/19,783.20
  6. Step 6: Final answer
    x = 14,122.80

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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.